#cellular automata
topiccellular automata
3 papers · 1 filter
cond-mat.stat-mech2026
From Exponential to Gaussian Tails: Fractal Wavefront Scaling and the -Weibull Distribution at Phase Transitions
O. V. Pavlovsky, M. Yu. Satleikin
The paper studies how a stochastic cellular‑automaton model of an active medium behaves near a phase transition, showing two distinct activity regimes whose fractal dimensions and…
physics.bio-ph2026
Continuous Game of Life: cell emergence and self-organization at the edge of growth
Alexandre Guillet, Frank Jülicher
The paper presents a minimal continuous version of Conway's Game of Life that produces cell-like patterns capable of self‑replication, movement, and death, and analyzes its behavio…
math.DS2026
Sufficiency of Unit Coefficients for Binary Orbits in Uniformly Weighted Linear Cellular Automata
Akane Kawaharada
The paper studies binary orbits of uniformly weighted linear cellular automata over Z/nZ, showing that any coefficient sharing prime factors with n can be reduced to a unit coeffic…