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04/25/2023
Adaptive Collective Responses to Local Stimuli in Anonymous Dynamic Networks
We develop a framework for self-induced phase changes in programmable ma...
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10/04/2022
Spanning tree methods for sampling graph partitions
In the last decade, computational approaches to graph partitioning have ...
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08/23/2022
Foraging in Particle Systems via Self-Induced Phase Changes
The foraging problem asks how a collective of particles with limited com...
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07/16/2022
Local Stochastic Algorithms for Alignment in Self-Organizing Particle Systems
We present local distributed, stochastic algorithms for alignment in sel...
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03/13/2022
Mathematically Quantifying Gerrymandering and the Non-responsiveness of the 2021 Georgia Congressional Districting Plan
While gerrymandering has been widely suspected in Georgia for years, it ...
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09/12/2020
Programming Active Granular Matter with Mechanically Induced Phase Changes
Emergent behavior of particles on a lattice has been analyzed extensivel...
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11/05/2019
Thermodynamic Computing
The hardware and software foundations laid in the first half of the 20th...
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04/02/2019
Slow Mixing of Glauber Dynamics for the Six-Vertex Model in the Ferroelectric and Antiferroelectric Phases
We analyze the mixing time of Glauber dynamics for the six-vertex model ...
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05/11/2018
A Local Stochastic Algorithm for Separation in Heterogeneous Self-Organizing Particle Systems
We investigate stochastic, distributed algorithms that can accomplish se...
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11/03/2017