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math.GR2025
Surjunctivity does not characterize cosoficity of invariant random subgroups
Lewis Bowen, Michael Chapman
A group is surjunctive if every injective cellular automaton on it is also surjective. Gottschalk famously conjectured that all groups are surjunctive. This remains a central open…
math.GR2025
Metric criteria for fixed price of countable groups
Erin Bevilacqua, Lewis Bowen
We establish general criteria for a countable group to have fixed price 1 depending on a choice of left-invariant proper metric on . We apply this criterion to show that if…
math.GT2025
Benjamini-Schramm limits of high genus translation surfaces: research announcement
Lewis Bowen, Kasra Rafi, Hunter Vallejos
We prove that the sequence of Masur-Smillie-Veech (MSV) distributed random translation surfaces, with area equal to genus, Benjamini-Schramm converges as genus tends to infinity. T…