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cond-mat.stat-mech2026
Fixed points of Boolean networks with sparse connections
Stav Marcus, Ari M. Turner, Guy Bunin +1
We study fixed points of cellular automata with sites on random sparse graphs. In the large limit such models are known to exhibit phase transitions, from a ``frozen'' phas…
cond-mat.stat-mech2025
Learning to outgrow the competition: reaction-diffusion systems that adapt to time-dependent environments
Olivier Rivoire, Guy Bunin
A fundamental challenge in both biology and engineering is understanding how adaptation can emerge from simple physical or chemical building blocks. Biological adaptation appears t…
cond-mat.stat-mech2024
Critical behavior of a phase transition in the dynamics of interacting populations
Thibaut Arnoulx de Pirey, Guy Bunin
Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a d…