A self-consistent dynamical system with multiple absolutely continuous invariant measures

DOI10.3934/jcd.2021002zbMath1468.37005arXiv1909.04484OpenAlexW3047946464MaRDI QIDQ2026916

Fanni M. Sélley

Publication date: 21 May 2021

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04484

zbMATH Keywords

absolutely continuous invariant measurephase transition\(\beta\)-mapdiscrete transfer operatorself-consistent dynamics

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (2)

Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties ⋮ Mean-field coupled systems and self-consistent transfer operators: a review

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