Tim Austin

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20242026

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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…