scientific article

zbMath0665.28012MaRDI QIDQ3992952

James W. England, Nathaniel F. G. Martin

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

entropytopological dynamicsinformation theorystatistical mechanicscodingergodic theoremmartingale convergence theoremShannon-McMillan-Breiman theoremOrnstein's isomorphism theoremclassification problem for dynamical systems

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Classical equilibrium statistical mechanics (general) (82B05) Measures of information, entropy (94A17) Topological entropy (37B40) Axioms; other general questions in probability (60A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Coding theorems (Shannon theory) (94A24)

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A consistent estimator of the entropy of measures and dynamical systems ⋮ The Weizsäcker phenomenon and a canonical definition of Gaussian Lebesgue-Rokhlin measures ⋮ Choice of solution in one-step bimatrix games ⋮ Bias of a nonparametric entropy estimator for Markov measures ⋮ On the boundary of the group of transformations leaving a measure quasi-invariant

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