{"id":993,"date":"2024-03-27T12:14:50","date_gmt":"2024-03-27T19:14:50","guid":{"rendered":"https:\/\/labs.engineering.asu.edu\/sops\/?page_id=993"},"modified":"2026-07-20T21:21:51","modified_gmt":"2026-07-21T04:21:51","slug":"emergence","status":"publish","type":"page","link":"https:\/\/labs.engineering.asu.edu\/sops\/emergence\/","title":{"rendered":"Emergence"},"content":{"rendered":"<div class=\"uds-hero-lg alignfull has-btn-row \" style=\"margin-bottom:var(--wp--preset--spacing--uds-size-8);\"><div class=\"hero-overlay\"><\/div><img loading=\"lazy\" decoding=\"async\" width=\"2560\" height=\"838\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1.jpg\" class=\"hero\" alt=\"\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1.jpg 2560w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1-500x164.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1-1500x491.jpg 1500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1-1000x327.jpg 1000w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1-1536x503.jpg 1536w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2021\/01\/emergence-banner-flipped-scaled-1-2048x670.jpg 2048w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\" \/><div class=\"acf-innerblocks-container\">\n\n\n\n<h1 class=\"wp-block-heading has-white-color has-text-color has-link-color wp-elements-07e1d1e74edef3a8a5a5988da56738e0\">Emergence<\/h1>\n\n\n\n<div class=\"wp-block-buttons btn-row is-layout-flex wp-block-buttons-is-layout-flex\"><\/div>\n\n<\/div><\/div>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">We utilize tools from statistical physics and Markov chain analysis to investigate how macro-scale behaviors in distributed systems of programmable matter can naturally emerge from local micro-behaviors by individual computational units. When this stochastic approach is combined with the amoebot model from the&nbsp;<a href=\"https:\/\/labs.engineering.asu.edu\/sops\/sops\/\" data-type=\"link\" data-id=\"https:\/\/labs.engineering.asu.edu\/sops\/sops\/\">SOPS project<\/a>, we translate Markov chains defined at a system level into local, distributed algorithms for self-organizing particle systems that are inherently robust \u2014 tolerant of particle faults \u2014 and oblivious, using very little memory and communication when compared to the stateful SOPS algorithms.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We can then translate distributed, stochastic algorithms for desirable macroscopic behaviors such as clustering, flocking, exploration, or desegregation into the physical mechanics of simple, analog robots. Ultimately, this project will provide a better end-to-end understanding of how microscopic rules can induce macroscopic behaviors, providing a more systematic approach to building and analyzing swarm robotic systems.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Publications<\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Refereed Journal Papers<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/doi.org\/10.1016\/j.tcs.2024.114904\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.1016\/j.tcs.2024.114904\">Adaptive Collective Responses to Local Stimuli in Anonymous Dynamic Networks<\/a>. Shunhao Oh, Dana Randall, Andr\u00e9a W. Richa. <em>Theoretical Computer Science<\/em>, vol. 1024, 114904, 2025.<\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.1073\/pnas.2321112121\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.1073\/pnas.2321112121\">Is Stochastic Thermodynamics the Key to Understanding the Energy Costs of Computation?<\/a> David H. Wolpert, Jan Korbel, Christopher W. Lynn, Farita Tasnim, Joshua A. Grochow, G\u00fclce Karde\u015f, James B. Aimone, Vijay Balasubramanian, Eric De Giuli, David Doty, Nahuel Freitas, Matteo Marsili, Thomas E. Ouldridge, Andr\u00e9a W. Richa, Paul Riechers, \u00c9dgar Rold\u00e1n, Brenda Rubenstein, Zoltan Toroczkai, Joseph Paradiso. <em>Proceedings of the National Academy of Sciences<\/em>, vol. 121, issue 45, e2321112121, 2024.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/2009.05710\">Programming active cohesive granular matter with mechanically induced phase changes<\/a>, Shengkai Li,&nbsp;Bahnisikha Dutta,&nbsp;Sarah Cannon, Joshua J. Daymude, Ram Avinery, Enes Aydin, Andr\u00e9a W. Richa, Daniel I. Goldman, Dana Randall.&nbsp;<em>Science Advances<\/em>, vol. 7, issue 17, 2021.&nbsp;<a href=\"https:\/\/doi.org\/10.1126\/sciadv.abe8494\">DOI: 10.1126\/sciadv.abe8494<\/a>&nbsp;<a href=\"https:\/\/advances.sciencemag.org\/content\/7\/17\/eabe8494\">[Full Text]<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1709.02425\">A stochastic approach to shortcut bridging in programmable matter<\/a>. Marta Andr\u00e9s Arroyo, Sarah Cannon, Joshua J. Daymude, Dana Randall, and Andr\u00e9a W. Richa.&nbsp;<em>Natural Computing<\/em>, 17(4) pp. 723-741, 2018. [<a href=\"https:\/\/rdcu.be\/727j\">Full Text<\/a>]<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1711.01327\">Phototactic supersmarticles<\/a>. William Savoie, Sarah Cannon, Joshua J. Daymude, Ross Warkentin, Shengkai Li,&nbsp;Andr\u00e9a W. Richa, Dana Randall, and Daniel I. Goldman.&nbsp;<em>Artificial Life and Robotics<\/em>, 23(4) pp. 459-468, 2018. [<a href=\"https:\/\/sops.engineering.asu.edu\/simulations\/#phototaxing\">Video\/Simulation<\/a>] [<a href=\"https:\/\/rdcu.be\/7Mgh\">Full Text<\/a>]<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Refereed Conference Proceedings<\/h3>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/chrome-extension:\/\/efaidnbmnnnibpcajpcglclefindmkaj\/https:\/\/drops.dagstuhl.de\/storage\/00lipics\/lipics-vol257-sand2023\/LIPIcs.SAND.2023.6\/LIPIcs.SAND.2023.6.pdf\" data-type=\"link\" data-id=\"chrome-extension:\/\/efaidnbmnnnibpcajpcglclefindmkaj\/https:\/\/drops.dagstuhl.de\/storage\/00lipics\/lipics-vol257-sand2023\/LIPIcs.SAND.2023.6\/LIPIcs.SAND.2023.6.pdf\">Adaptive Collective Responses to Local Stimuli in Anonymous Dynamic Networks.<\/a> Shunhao Oh, Dana Randall, Andr\u00e9a W. Richa.&nbsp;In 2nd Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 257, pp. 6:1-6:23, Schloss Dagstuhl \u2013 Leibniz-Zentrum f\u00fcr Informatik (2023).<\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.4230\/LIPIcs.DISC.2022.51\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.4230\/LIPIcs.DISC.2022.51\">Brief Announcement: Foraging in Particle Systems via Self-Induced Phase Changes.<\/a> Shunhao Oh, Dana Randall, Andr\u00e9a W. Richa. In 36th International Symposium on Distributed Computing (DISC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 246, pp. 51:1-51:3, 2022.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1805.04599\">A local stochastic algorithm for separation in heterogeneous self-organizing particle systems<\/a>.&nbsp;Sarah Cannon, Joshua J. Daymude, Cem G\u00f6kmen, Dana Randall, and Andr\u00e9a W. Richa. In&nbsp;<em>Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX\/RANDOM 2019)<\/em>, pp. 54:1-54:22, 2019.<\/li>\n\n\n\n<li><a href=\"https:\/\/dl.acm.org\/citation.cfm?id=3212792\">Brief Announcement: A local stochastic algorithm for separation in heterogeneous self-organizing particle systems<\/a>. Sarah Cannon, Joshua J. Daymude, Cem Gokmen, Dana Randall, and&nbsp;Andr\u00e9a W. Richa. In&nbsp;<em>Proceedings of the 2018 ACM Principles of Distributed Computing (PODC \u201918),&nbsp;<\/em>pp. 483-485, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1709.02425v1\">A stochastic approach to shortcut bridging in programmable matter<\/a>. Marta Andr\u00e9s Arroyo, Sarah Cannon, Joshua J. Daymude, Dana Randall, and Andr\u00e9a W. Richa. In&nbsp;<em>DNA Computing and Molecular Programming&nbsp;\u2014 23rd International Conference (DNA23)<\/em>, pp. 122-138, 2017. [<a href=\"https:\/\/sops.engineering.asu.edu\/simulations\/#shortcutbridging\">Simulation<\/a>]<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1603.07991\">A Markov chain algorithm for compression in self-organizing particle systems<\/a>. Sarah Cannon, Joshua J. Daymude, Dana Randall, and Andr\u00e9a W. Richa. In&nbsp;<em>Proceedings of the 2016 ACM Symposium on Principles of Distributed Computing (PODC \u201916)<\/em>, pp. 279-288, 2016. [<a href=\"https:\/\/sops.engineering.asu.edu\/simulations\/#compression\">Simulation<\/a>]<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Other Publications<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/arxiv.org\/abs\/2510.06011\" data-type=\"link\" data-id=\"https:\/\/arxiv.org\/abs\/2510.06011\">How Many More Is Different?<\/a> Jacob Calvert, Andr\u00e9a W. Richa, Dana Randall. arXiv:2510.06011, 2025.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/2208.10720\" data-type=\"link\" data-id=\"https:\/\/arxiv.org\/abs\/2208.10720\">Foraging in Particle Systems via Self-Induced Phase Changes<\/a>. Shunhao Oh, Dana Randall, Andr\u00e9a W. Richa. arXiv:2208.10720, 2022.<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1711.01327\">Phototactic Supersmarticles<\/a>. Sarah Cannon, Joshua J. Daymude, William Savoie, Ross Warkentin, Shengkai Li, Daniel I. Goldman, Dana Randall, and Andr\u00e9a W. Richa. Appeared at the&nbsp;<em>2nd International Symposium on Swarm Behavior and Bio-Inspired Robotics (SWARM \u201917)<\/em>. 2017. [<a href=\"https:\/\/sops.engineering.asu.edu\/simulations\/#phototaxing\">Video\/Simulation<\/a>]<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">Presentations<\/h2>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Invited Talks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/7xldx7iakjxcrss\/AACEnX3kKfZRF9E3o-Gdjzdpa?dl=0\">Algorithmic Programmable Matter<\/a>. Andr\u00e9a W. Richa. Keynote talk at&nbsp;<em>22nd International Symposium on Stabilization, Safety, and Security of Distributed Systems (<a href=\"https:\/\/www.cse.msu.edu\/~sandeep\/SSS2020\/index.html\">SSS \u201920<\/a>)<\/em>, Austin, TX, USA (Virtual Event). November 18, 2020.&nbsp;[<a href=\"https:\/\/mediaspace.msu.edu\/media\/SSS+2020A+Day+1A+Keynote+1A+Algorithmic+Programmable+Matter+by+Andrea+Richa\/1_deqp1n7k\">Video<\/a>]<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/qfmotohn16cqpo4\/AADqpOo9rIFlR86kTEt06oX_a?dl=0\">Markov Chains for Programmable Active Matter<\/a>. Dana Randall.&nbsp;<em>Oxford Discrete Math and Probability Seminar (<a href=\"http:\/\/people.maths.ox.ac.uk\/scott\/dmp.htm\">DMP<\/a>)<\/em>, Virtual Event. June 9, 2020. [<a href=\"https:\/\/www.youtube.com\/watch?v=nPCjWIoK5KI\">Video<\/a>]<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/2sdpn6s7453wftj\/AAAHiCzLdBFfA4rj5cSlNDK0a?dl=0\">Algorithmic Foundations of Programmable Matter<\/a>.&nbsp;Andr\u00e9a W. Richa. Keynote talk at&nbsp;<em>International Conference on Distributed Computing and Networking 2020 (<a href=\"http:\/\/www.icdcn2020.rf.gd\/?i=1\">ICDCN \u201920<\/a>)<\/em>, Kolkata, India. January 6, 2020.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ww9anjf3om32mlq\/AAB973xgAlduk79BMRUqdxFTa?dl=0\">Self-Organizing Particle Systems: an Algorithmic Approach to Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>2nd Workshop on Self-Organization in Swarm of Robots (<a href=\"http:\/\/tcs.inf.kyushu-u.ac.jp\/wssr2018\/\">WSSR \u201918<\/a>)<\/em>, Tokyo, Japan. November 4, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/g1xlspzmgsd4708\/AADF3bd8cK4hvqlSO-5FevW3a?dl=0\">Algorithmic Foundations of Programmable Matter<\/a>. Andr\u00e9a W. Richa. Keynote talk at&nbsp;<em>Latin American Theoretical Informatics 2018 (<a href=\"https:\/\/latin2018.dc.uba.ar\/#\">LATIN \u201918<\/a>)<\/em>, Buenos Aires, Argentina. April 17, 2018.<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Conference Talks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ookt6iasnfifuqp\/AABKgdyRvibJFnIjv4jZMGT0a?dl=0\">A Local Stochastic Algorithm for Separation in Heterogeneous Self-Organizing Particle Systems<\/a>. Joshua J. Daymude.&nbsp;<em>International Conference on Randomization and Computation (<a href=\"https:\/\/randomconference.com\/random-2019\/\">RANDOM \u201919<\/a>)<\/em>, Boston, MA, USA. September 21, 2019.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/mfadr6h0d4421b4\/AAByJ1YRpyeTc-S44ahUqC4Oa?dl=0\">Separation in Heterogeneous Self-Organizing Particle Systems<\/a>. Andr\u00e9a W. Richa.&nbsp;<em>ACM Symposium on Principles of Distributed Computing (<a href=\"https:\/\/www.podc.org\/\">PODC \u201918<\/a>)<\/em>, London, UK. July 26, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/duya3ul2ugmivtt\/AABBPkPi1vGocC3UrMZgD1Eja?dl=0\">Supersmarticle: A Locomoting Robot Made of Robots<\/a>. Shengkai Li.&nbsp;<em>American Physical Society (APS)&nbsp;<a href=\"https:\/\/www.aps.org\/meetings\/march\/index.cfm\">March Meeting 2018<\/a><\/em>, Los Angeles, CA, USA. March 9, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/amxscgb0oqsgj2i\/AADJp8oCPPWS6z1-pqTQCJpfa?dl=0\">Local Stochastic Algorithms for Compression and Shortcut Bridging in Programmable Matter<\/a>. Andr\u00e9a W. Richa.&nbsp;<em>Joint Mathematics Meetings (<a href=\"http:\/\/jointmathematicsmeetings.org\/meetings\/national\/jmm2018\/2197_intro\">JMM \u201918<\/a>) Special Session on Emergent Phenomena in Discrete Models,&nbsp;<\/em>San Diego, CA, USA. January 12, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/gkdp6n1vibr42hi\/AABtyQNJmompSCnyvnBwwzlba?dl=0\">Phototactic Supersmarticles<\/a>. Shengkai Li.&nbsp;<em>2nd International Symposium on Swarm Behavior and Bio-Inspired Robotics (<a href=\"http:\/\/www.ohk.hiroshima-u.ac.jp\/SWARM2017\/index.html\">SWARM \u201917<\/a>)<\/em>, Kyoto, Japan. November 1, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/yipb50ol87wildn\/AACajOfHKE5vzj-bT5ao9qNCa?dl=0\">A Stochastic Approach to Shortcut Bridging in Programmable Matter<\/a>. Sarah Cannon.&nbsp;<em>DNA Computing and Molecular Programming \u2013 23rd International Conference (<a href=\"https:\/\/dna23ut.org\/\">DNA23<\/a>)<\/em>, Austin, TX, USA. September 26, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/obybg3p8dtbzv2k\/AAA3R32PWUQGCRXc6rtc22Ela?dl=0\">A Markov Chain Algorithm for Compression in Self-Organizing Particle Systems<\/a>. Sarah Cannon.&nbsp;<em>ACM Symposium on Principles of Distributed Computing (<a href=\"https:\/\/www.podc.org\/podc2016\/\">PODC \u201916<\/a>)<\/em>, Chicago, IL, USA. July 27, 2016.<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Poster Presentations<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/1r0u1gz3b61jyim\/AABH8TvBs4NbJdce4uh7Wl8ma?dl=0\">Self-Organizing Particle Systems: an Abstraction of Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>Achievement Rewards for College Scientists (<a href=\"https:\/\/phoenix.arcsfoundation.org\/\">ARCS<\/a>) Awards Dinner 2019<\/em>, Phoenix, AZ, USA. April 26, 2019.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/vbbyj9kl1lewvme\/AAAIdA8OzczhMTzNVJhOQkKya?dl=0\">Markov Chains, Programmable Matter, and Emergent Behavior<\/a>. Sarah Cannon.&nbsp;<em>MIT EECS&nbsp;<a href=\"https:\/\/risingstars18-eecs.mit.edu\/\">Rising Stars<\/a>&nbsp;2018,&nbsp;<\/em>Cambridge, MA, USA. October 29, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ake93ouqvvollgu\/AABKJHijnlThiLPWomGW6Ci7a?dl=0\">Self-Organizing Particle Systems: an Abstraction of Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>Achievement Rewards for College Scientists (<a href=\"https:\/\/phoenix.arcsfoundation.org\/\">ARCS<\/a>) Awards Dinner 2018<\/em>, Phoenix, AZ, USA. April 20, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/yimet90xr254f26\/AADVbon389XEavpENRpJ_1Ipa?dl=0\">A Local Stochastic Algorithm for Separation in Heterogeneous Self-Organizing Particle Systems<\/a>. (Best Poster Presentation Award). Cem Gokmen.&nbsp;<em>Georgia Tech Undergraduate Research&nbsp;<a href=\"http:\/\/www.undergradresearch.gatech.edu\/spring-symposium\">Spring Symposium<\/a><\/em>, Atlanta, GA, USA. April 17, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/np04mgh2ppantxy\/AADdB-suBl5bkFZ9i-5Arw6fa?dl=0\">Compression and Shortcut Bridging in Self-Organizing Particle Systems<\/a>. Joshua J. Daymude.&nbsp;<em>Google PhD Intern Research Conference (PIRC \u201917)<\/em>, Mountain View, CA, USA. July 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/w7te33hza1vqdkj\/AACt-fi4afF-xAXcqviD5vkta?dl=0\">Compression in Self-Organizing Particle Systems<\/a>. Joshua J. Daymude.&nbsp;<em>Barrett Celebrating Honors Symposium (<a href=\"https:\/\/barretthonors.asu.edu\/news-events\/about-barrett-events\/asu-barrett-traditions\/celebrating-honors-symposium\">BCHS \u201916<\/a>)<\/em>, Tempe, AZ, USA. April 12, 2016.<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Other Presentations<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/yh3qsxwod8lbb0x\/AACzBe6_Ysh6ucZTdRih6T2Oa?dl=0\">Stochastic Algorithms for Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>Discrete Math&nbsp;<\/em><a href=\"https:\/\/math.la.asu.edu\/~andrzej\/seminar-current.html\"><em>Seminar<\/em><\/a>, Tempe, AZ, USA. April 3, 2019.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/273vb96hphfwkx2\/AABt-oTcDj3FpdovcAuPEcJ9a?dl=0\">Partition Functions, Markov Chains, and Programmable Matter<\/a>. Sarah Cannon.\n<ul class=\"wp-block-list\">\n<li><em>Berkeley Probability&nbsp;<\/em><a href=\"http:\/\/events.berkeley.edu\/index.php\/calendar\/sn\/stat.html?event_ID=124066&amp;date=2019-02-27\"><em>Seminar<\/em><\/a>, Berkeley, CA, USA. February 27, 2019.<\/li>\n\n\n\n<li><em>Simons Institute Fifth Annual&nbsp;<a href=\"https:\/\/simons.berkeley.edu\/events\/industry-day-2019\">Industry Day<\/a><\/em>, Berkeley, CA, USA. February 28, 2019.<\/li>\n\n\n\n<li><em>Simons Institute&nbsp;<a href=\"https:\/\/simons.berkeley.edu\/programs\/geometry2019\">Geometry of Polynomials<\/a>&nbsp;Seminar<\/em>, Berkeley, CA, USA. March 6, 2019.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ohx7pkeo37e7ytm\/AABjnJzLCsWEz_Xv2QznDB8Ta?dl=0\">Self-Organizing Particle Systems (SOPS)<\/a>.&nbsp;Andr\u00e9a W. Richa. Tutorial at&nbsp;<em>Dagstuhl Seminar&nbsp;<a href=\"https:\/\/www.dagstuhl.de\/en\/program\/calendar\/semhp\/?semnr=18331\">18331<\/a>: Algorithmic Foundations of Programmable Matter<\/em>, Schloss Dagstuhl, Germany. August 16, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ow6tam7xhpwwk4x\/AABVtYPw8BFpkcYn6Yc0f69ma?dl=0\">Separation in Heterogeneous Programmable Matter<\/a>. Andr\u00e9a W. Richa.&nbsp;<em>Biological Distributed Algorithms (<a href=\"http:\/\/www.snl.salk.edu\/~navlakha\/BDA2018\/\">BDA \u201918<\/a>)<\/em>, London, UK. July 23, 2018.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/6zo7gv1i2566jet\/AAD-G2u0lLZ6XJwn5zrxNyAoa?dl=0\">A Stochastic Approach to Shortcut Bridging in Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>Algorithms, Combinatorics, and Optimization (<a href=\"http:\/\/www.aco.gatech.edu\/\">ACO<\/a>) Student Seminar<\/em>, Atlanta, GA, USA. October 6, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/0aoyv7v44faxx4i\/AABWnphHA_vU8HLQfyFJUXvLa?dl=0\">A Markov Chain Approach to Programmable Matter<\/a>. Sarah Cannon.&nbsp;<em>Big-O Undergraduate&nbsp;<a href=\"https:\/\/theoryclub.github.io\/\">Theory Club<\/a>&nbsp;Seminar<\/em>, Atlanta, GA, USA. October 2, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/7jn1z9c1tpn1xi1\/AACrGHjmAvxSS0BTyRWptkkta?dl=0\">Local Stochastic Algorithms for Compression and Shortcut Bridging in Programmable Matter<\/a>. Joshua J. Daymude.&nbsp;<em>Biological Distributed Algorithms (<a href=\"http:\/\/www.snl.salk.edu\/~navlakha\/BDA2017\/index.html\">BDA \u201917<\/a>),&nbsp;<\/em>Washington D.C., USA. July 28, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/keh4bjxxd31zcmh\/AACLieRzwfoAI_y1PsUgWIdCa?dl=0\">A Distributed and Stochastic Algorithmic Framework for Active Matter<\/a>. Dana Randall and Andr\u00e9a W. Richa.&nbsp;<em>Algorithms in the Field (AitF) PI Meeting 2017<\/em>, Arlington, VA, USA. March 31, 2017.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.dropbox.com\/sh\/ubvy7ou7kp8qnao\/AAC0iZFcIZcbiKoJ5ZSq8CjNa?dl=0\">A Markov Chain Algorithm for Compression in Self-Organizing Particle Systems<\/a>. Sarah Cannon.\n<ul class=\"wp-block-list\">\n<li><em>Achievement Rewards for College Scientists (<a href=\"https:\/\/atlanta.arcsfoundation.org\/\">ARCS<\/a>) 25th Anniversary Celebration<\/em>, Atlanta, GA, USA. October 18, 2016.<\/li>\n\n\n\n<li><em>Algorithms, Combinatorics, and Optimization (<a href=\"http:\/\/www.aco.gatech.edu\/\">ACO<\/a>) Student Seminar<\/em>, Atlanta, GA, USA. September 16, 2016.<\/li>\n\n\n\n<li><em>China Theory Week&nbsp;<a href=\"http:\/\/www.itcsc.cuhk.edu.hk\/Workshops\/CTW16_Workshop\/chinatheoryweek.html\">2016<\/a>,<\/em>&nbsp;Hong Kong, China. August 25, 2016.<\/li>\n\n\n\n<li><em>Dagstuhl Seminar&nbsp;<a href=\"https:\/\/www.dagstuhl.de\/en\/program\/calendar\/semhp\/?semnr=16271\">16271<\/a><\/em>, Dagstuhl, Germany. July 4-8, 2016.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">People<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Current Team<\/h3>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1500\" height=\"1500\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-1500x1500.jpg\" alt=\"\" class=\"wp-image-392\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-1500x1500.jpg 1500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-1000x1000.jpg 1000w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-1536x1536.jpg 1536w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/aricha-new-square-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 1500px) 100vw, 1500px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Andr\u00e9a W. Richa<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">PI \/ President&#8217;s Professor, Arizona State University <a href=\"http:\/\/www.public.asu.edu\/~aricha\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"476\" height=\"476\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/drandall-square.jpeg\" alt=\"\" class=\"wp-image-290\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/drandall-square.jpeg 476w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/drandall-square-150x150.jpeg 150w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Dana Randall<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">PI \/ Professor, Georgia Institute of Technology <a href=\"http:\/\/people.math.gatech.edu\/~randall\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"546\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/dgoldman-square.jpg\" alt=\"\" class=\"wp-image-562\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/dgoldman-square.jpg 545w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/dgoldman-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/dgoldman-square-150x150.jpg 150w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Daniel I. Goldman<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">PI \/ Professor, Georgia Institute of Technology <a href=\"http:\/\/crablab.gatech.edu\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1231\" height=\"1500\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-1231x1500.jpg\" alt=\"\" class=\"wp-image-293\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-1231x1500.jpg 1231w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-410x500.jpg 410w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-820x1000.jpg 820w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-1260x1536.jpg 1260w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon-1680x2048.jpg 1680w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/scannon.jpg 1937w\" sizes=\"auto, (max-width: 1231px) 100vw, 1231px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Sarah Cannon<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Assistant Professor, Claremont McKenna University <a href=\"https:\/\/www1.cmc.edu\/pages\/faculty\/SCannon\/\">[website]<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"220\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/jdaymude-square-small.png\" alt=\"\" class=\"wp-image-246\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/jdaymude-square-small.png 220w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/jdaymude-square-small-150x150.png 150w\" sizes=\"auto, (max-width: 220px) 100vw, 220px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Joshua J. Daymude<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Professor, Arizona State University <a href=\"https:\/\/jdaymude.github.io\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/sli-square-small.png\" alt=\"\" class=\"wp-image-306\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/sli-square-small.png 400w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/sli-square-small-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Shengkai Li<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D. Student, Georgia Institute of Technology <a href=\"http:\/\/crablab.gatech.edu\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"250\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/murphey-todd.jpeg\" alt=\"\" class=\"wp-image-862\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/murphey-todd.jpeg 250w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/murphey-todd-150x150.jpeg 150w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Todd Murphey<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">PI\/Professor, Northwestern University <a href=\"https:\/\/www.mccormick.northwestern.edu\/research-faculty\/directory\/profiles\/murphey-todd.html\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jweber-square.jpg\" alt=\"\" class=\"wp-image-558\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jweber-square.jpg 1024w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jweber-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jweber-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jweber-square-1000x1000.jpg 1000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Jamison Weber<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Postdoctoral Scholar, Arizona State University<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"220\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/AnaPervan.jpeg\" alt=\"\" class=\"wp-image-864\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/AnaPervan.jpeg 220w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2022\/03\/AnaPervan-150x150.jpeg 150w\" sizes=\"auto, (max-width: 220px) 100vw, 220px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ana Pervan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Robotics Engineer, Wayve[website]<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1126\" height=\"1118\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/achaturvedi-square.jpg\" alt=\"\" class=\"wp-image-555\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/achaturvedi-square.jpg 1126w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/achaturvedi-square-500x496.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/achaturvedi-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/achaturvedi-square-1000x993.jpg 1000w\" sizes=\"auto, (max-width: 1126px) 100vw, 1126px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Anya Chaturvedi<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D. Student, Arizona State University <a href=\"https:\/\/anyachaturvedi27.github.io\/\" data-type=\"link\" data-id=\"https:\/\/anyachaturvedi27.github.io\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jbriones-square.jpg\" alt=\"\" class=\"wp-image-557\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jbriones-square.jpg 1024w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jbriones-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jbriones-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/jbriones-square-1000x1000.jpg 1000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Joseph Briones<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D. Student, Arizona State University<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"1280\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank.png\" alt=\"\" class=\"wp-image-322\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank.png 1280w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-500x500.png 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-150x150.png 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-1000x1000.png 1000w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Shunhao Oh<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D Student, Georgia Institute of Technology<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Past Members<\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1500\" height=\"1500\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-1500x1500.jpg\" alt=\"\" class=\"wp-image-564\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-1500x1500.jpg 1500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-1000x1000.jpg 1000w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square-1536x1536.jpg 1536w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/bdutta-square.jpg 1801w\" sizes=\"auto, (max-width: 1500px) 100vw, 1500px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Bahnisikha Dutta<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D. Student, Georgia Institute of Technology <a href=\"http:\/\/crablab.gatech.edu\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/wsavoie-square.jpg\" alt=\"\" class=\"wp-image-563\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/wsavoie-square.jpg 400w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2019\/04\/wsavoie-square-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">William Savoie<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D., Georgia Institute of Technology 2019 <a href=\"http:\/\/crablab.gatech.edu\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"1280\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank.png\" alt=\"\" class=\"wp-image-322\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank.png 1280w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-500x500.png 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-150x150.png 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/blank-1000x1000.png 1000w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ross Warkentin<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Masters of Science, Georgia Institute of Technology 2017 <a href=\"http:\/\/crablab.gatech.edu\/\">[website]<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/cgokmen-square-1.jpg\" alt=\"\" class=\"wp-image-332\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/cgokmen-square-1.jpg 800w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/cgokmen-square-1-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/cgokmen-square-1-150x150.jpg 150w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Cem Gokmen<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Undergraduate Researcher, Georgia Institute of Technology 2018 <a href=\"https:\/\/www.cemgokmen.com\/\">[website]<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"533\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/mandresarroyo-square.jpg\" alt=\"\" class=\"wp-image-296\" style=\"object-fit:contain;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/mandresarroyo-square.jpg 532w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/mandresarroyo-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2017\/12\/mandresarroyo-square-150x150.jpg 150w\" sizes=\"auto, (max-width: 532px) 100vw, 532px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Marta Andr\u00e9s Arroyo<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Undergraduate Researcher, University of Granada<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1920\" height=\"1916\" src=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square.jpg\" alt=\"\" class=\"wp-image-713\" style=\"object-fit:cover;width:282px;height:282px\" srcset=\"https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square.jpg 1920w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square-500x500.jpg 500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square-1500x1497.jpg 1500w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square-150x150.jpg 150w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square-1000x998.jpg 1000w, https:\/\/labs.engineering.asu.edu\/sops\/wp-content\/uploads\/sites\/181\/2020\/05\/rmartin-square-1536x1533.jpg 1536w\" sizes=\"auto, (max-width: 1920px) 100vw, 1920px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Rebecca Martin<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Ph.D. Student, Carnegie Melon University<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">Funding<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Collaborative Research: AF: Medium: Markov Chain Algorithms for Problems from Computer Science, Statistical Physics and Self-Organizing Particle Systems. Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=2106917\">2106917<\/a>&nbsp;(ASU), Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=2106687\">2106687<\/a>&nbsp;(Georgia Tech). May. 2021 \u2013 Present.<\/li>\n\n\n\n<li><a href=\"https:\/\/media.defense.gov\/2019\/Apr\/03\/2002109216\/-1\/-1\/1\/MURI-2019-SELECTED-TEAMS.PDF\">Foundations of Emergent Computation and Self-Organized Adaptation<\/a>. DoD MURI (Multidisciplinary University Research Initiative) Award #W911NF-19-1-0233. Feb. 2019 \u2013 Present.<\/li>\n\n\n\n<li>Algorithms in the Field: Collaborative Research: A Distributed and Stochastic Algorithmic Framework for Active Matter. NSF CCF (Division of Computing and Communication Foundations): Algorithmic Foundations, Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1637393&amp;HistoricalAwards=false\">1637393<\/a>&nbsp;(ASU), Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1637031&amp;HistoricalAwards=false\">1637031<\/a>&nbsp;(Georgia Tech). Sept. 2016 \u2013 Aug. 2018.<\/li>\n\n\n\n<li>Algorithms in the Field: Collaborative Research: Distributed and Stochastic Algorithms for Active Matter: Theory and Practice. NSF CCF (Division of Computing and Communication Foundations): Algorithmic Foundations Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1733680&amp;HistoricalAwards=false\">1733680<\/a>&nbsp;(ASU), Award #<a href=\"https:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1733812&amp;HistoricalAwards=false\">1733812<\/a>&nbsp;(Georgia Tech). Jan. 2018 \u2013 Dec. 2020.<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p class=\"mb-2\">We utilize tools from statistical physics and Markov chain analysis to investigate how macro-scale behaviors in distributed systems of programmable matter can naturally emerge from local micro-behaviors by individual computational units. When this stochastic approach is combined with the amoebot model from the&nbsp;SOPS project, we translate Markov chains defined at a system level into local,&#8230;<\/p>\n","protected":false},"author":338,"featured_media":0,"parent":0,"menu_order":15,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-993","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/pages\/993","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/users\/338"}],"replies":[{"embeddable":true,"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/comments?post=993"}],"version-history":[{"count":3,"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/pages\/993\/revisions"}],"predecessor-version":[{"id":1174,"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/pages\/993\/revisions\/1174"}],"wp:attachment":[{"href":"https:\/\/labs.engineering.asu.edu\/sops\/wp-json\/wp\/v2\/media?parent=993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}