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math.PR2026
Peierls bounds from Toom contours
Jan M. Swart, Réka Szabó, Cristina Toninelli
For deterministic monotone cellular automata on the -dimensional integer lattice, Toom has given necessary and sufficient conditions for the all-one fixed point to be stable aga…
math.PR2025
Long time behaviour of one facilitated kinetically constrained models: results and open problems
Fabio Martinelli, Assaf Shapira, Cristina Toninelli
Kinetically constrained models (KCMs) are interacting particle systems introduced in the '80s by physicists to have accessible stochastic models with glassy-type dynamics. The key…