Tim Austin

activity

20242026

collaborators

4 papers

math.PR2026

Annealed almost periodic entropy

Tim Austin

This work studies certain notions of entropy that can be associated to (i) a representation of a separable, unital C*-algebra $A$ and (ii) an auxiliary random sequence $…

math.OA2026

Entropy and determinants for unitary representations

Tim Austin

Ergodic theory includes several notions of entropy for probability-preserving actions of countable groups. These include Kolmogorov--Sinai entropy based on FÃ¸lner sequences for am…

math.DS2025

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 $I^$ with an invariant Markov measure which has completely positive sofic entropy (with respect…

math.DS2024

Non-convergence of some non-commuting double ergodic averages

Tim Austin

Let $S$ and $T$ be measure-preserving transformations of a probability space $(X, B, I^¼)$ . Let $f$ be a bounded measurable functions, and consider the integrals of the cor…