Historic behaviour vs. physical measures for irrational flows with multiple stopping points

DOI10.1016/j.aim.2022.108626OpenAlexW3092906088MaRDI QIDQ2089042

Pierre-Antoine Guihéneuf, Martin Andersson

Publication date: 6 October 2022

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

Full work available at URL: https://arxiv.org/abs/2010.08945

zbMATH Keywords

Birkhoff sumsphysical measureshistoric behaviourirrational toral flownonintegrable observables

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Metric theory of continued fractions (11K50) Distribution modulo one (11J71) Flows on surfaces (37E35) Relations between ergodic theory and number theory (37A44)

Related Items (2)

Persistent non-statistical dynamics in one-dimensional maps ⋮ Historic behavior in rock-paper-scissor dynamics

Cites Work

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