3 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 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 Følner 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 with an invariant Markov measure which has completely positive sofic entropy (with respect…