3 papers
math.PR2026
Percolation on the stationary distributions of the voter model with stirring
Jhon Astoquillca, Franco Severo, Réka Szabó +1
The voter model with stirring is a variant of the classical voter model on with two possible opinions (0 and 1) that, in addition to copying neighbouring opinions at…
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
Peierls bounds from random Toom contours
Jan M. Swart, Réka Szabó, Cristina Toninelli
For deterministic monotone cellular automata on the -dimensional integer lattice, Toom (1980) has given necessary and sufficient conditions for the all-one fixed point to be sta…