2 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
Typical sofic entropy and local limits for free group shift systems
Christopher Shriver
We show that for any invariant measure on a free group shift system, there are two numbers which in some sense are the typical upper and lower sofic ent…
Equilibrium and nonequilibrium Gibbs states on sofic groups
Christopher Shriver
Recent work of Barbieri and Meyerovitch has shown that, for very general spin systems indexed by sofic groups, equilibrium (i.e. pressure-maximizing) states are Gibbs. The main goa…
Metastability and maximal-entropy joinings of Gibbs measures on finitely-generated groups
Christopher Shriver
We prove a metastability result for finitary microstates which are good models for a Gibbs measure for a nearest-neighbor interaction on a finitely-generated group. This is used to…
Free Energy, Gibbs Measures, and Glauber Dynamics for Nearest-neighbor Interactions on Trees
Christopher Shriver
We extend results of R. Holley beyond the integer lattice to a large class of groups which includes free groups. In particular we show that a shift-invariant measure is Gibbs if an…
The relative f-invariant and non-uniform random sofic approximations
Christopher Shriver
The -invariant is an isomorphism invariant of free-group measure-preserving actions introduced by Lewis Bowen in [arXiv:0802.4294], where it was used to show that two finite-ent…