Ergodic averaging with and without invariant measures

DOI10.1088/1361-6544/aa8fe8zbMath1391.37003arXiv1709.06327OpenAlexW3099153240MaRDI QIDQ4600133

Michael L. Blank

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06327

zbMATH Keywords

invariant measureergodic theoremtypical trajectory

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (6)

Invariant measures of torus piecewise isometries ⋮ Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties ⋮ Quantum Mechanics for Closure of Dynamical Systems ⋮ Learning to Forecast Dynamical Systems from Streaming Data ⋮ A self-consistent dynamical system with multiple absolutely continuous invariant measures ⋮ Arcsine law for random dynamics with a core

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• There exists an interval exchange with a non-ergodic generic measure
• Stochastically stable globally coupled maps with bistable thermodynamic limit
• Ergodic theory of generic continuous maps
• Ergodic theorem without invariant measure
• Measure-preserving homeomorphisms and metrical transitivity
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem
• Relations between natural and observable measures
• Multicomponent dynamical systems: SRB measures and phase transitions
• On Ergodic Properties of Nonlinear Markov Chains and Stochastic McKean--Vlasov Equations
• Weakly Wandering Sets and Invariant Measures

This page was built for publication: Ergodic averaging with and without invariant measures