4 papers
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…
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…
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…
The Aldous--Lyons Conjecture II: Undecidability
Lewis Bowen, Michael Chapman, Thomas Vidick
This paper, and its companion [BCLV24], are devoted to a negative resolution of the Aldous--Lyons Conjecture [AL07, Ald07]. In this part we study tailored non-local games. This is…