1 citations · 2 across the 7 of their papers we have counts for
7 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…
The Aldous--Lyons Conjecture I: Subgroup Tests
Lewis Bowen, Michael Chapman, Alexander Lubotzky +1
This paper, and its companion [BCV24], are devoted to a negative resolution of the Aldous--Lyons Conjecture [AL07, Ald07]. This conjecture, originated in probability theory, is wel…
Algebraic dynamical systems from LDPC codes satisfy a strong negation of the weak Pinsker property
Tim Austin, Lewis Bowen, Christopher Shriver
We construct an explicit algebraic example of a subshift of finite type over a group with an invariant Markov measure which has completely positive sofic entropy (with respect…
Locally compact sofic entropy theory
Lewis Bowen
This paper generalizes sofic entropy theory, in both the topological and measure-theory settings, to actions of locally compact groups. We prove invariance under topological and me…