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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…
math.PR2025
Tightness criteria for random compact sets of cadlag paths
Nic Freeman, Jan M. Swart
We give tightness criteria for random variables taking values in the space of all compact sets of cadlag real-valued paths, in terms of both the Skorohod J1 and M1 topologies. This…