Measure concentration and the weak Pinsker property

DOI10.1007/s10240-018-0098-3zbMath1462.60029arXiv1705.00302OpenAlexW2610736842MaRDI QIDQ1720271

Tim D. Austin

Publication date: 8 February 2019

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00302

zbMATH Keywords

Bernoulli shiftShannon entropyPinsker property

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Spaces of measures, convergence of measures (28A33)

Related Items (12)

Output digitization of simple measure-preserving linear systems ⋮ Superrigidity, measure equivalence, and weak Pinsker entropy ⋮ On some generic classes of ergodic measure preserving transformations ⋮ An ergodic system is dominant exactly when it has positive entropy ⋮ The structure of low-complexity Gibbs measures on product spaces ⋮ The Brin Prize works of Tim Austin ⋮ Complexities of differentiable dynamical systems ⋮ Multi-variate correlation and mixtures of product measures ⋮ Weakly homoclinic groups of ergodic actions ⋮ The Borel measure of sequences with bounded run-length ⋮ Filtrations associated to some two-to-one transformations ⋮ Sofic homological invariants and the Weak Pinsker Property

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