Ergodic theory and its significance for statistical mechanics and probability theory

DOI10.1016/S0001-8708(74)80003-4zbMath0326.60001OpenAlexW1973196859MaRDI QIDQ1225867

George W. Mackey

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(74)80003-4

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Measures on groups and semigroups, etc. (43A05) Information theory (general) (94A15) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Probability theory and stochastic processes (60-XX)

Related Items

Classical ergodicity and modern portfolio theory, Autocorrelation functions and ergodicity in diffusion with stochastic resetting, Some Observations on Dirac Measure-Preserving Transformations and their Results, The mathematical foundations of quantum mechanics, Ergodic theorem, ergodic theory, and statistical mechanics, On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution, Boltzmann, Darwin and directionality theory, Absolute continuity of information channels, Entropy and nonlinear prediction, Normal ergodic actions, Groups admitting ergodic actions with generalized discrete spectrum, Theory of dynamical systems and general transformation groups with invariant measure, Induced and amenable ergodic actions of Lie groups, Ergodic theorems in demography