On Dirac physical measures for transitive flows

DOI10.1007/s00220-010-1077-9zbMath1213.37029OpenAlexW2125365792MaRDI QIDQ625482

Edson Vargas, Radu Saghin, Wen Xiang Sun

Publication date: 17 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-010-1077-9

zbMATH Keywords

basin of attractionAnosov-Katok methodDirac physical measuresmooth transitive flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (7)

Dirac physical measures on saddle-type fixed points ⋮ Rotation set of torus homeomorphisms preserving minimal foliations ⋮ Invariant measures for Cherry flows ⋮ Historic and physical wandering domains for wild blender-horseshoes ⋮ Cherry flow: physical measures and perturbation theory ⋮ Dirac physical measures for generic diffeomorphisms ⋮ Historic behaviour vs. physical measures for irrational flows with multiple stopping points

Cites Work

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• Quadratic maps without asymptotic measure
• Time change and orbit equivalence in ergodic theory
• First return map and invariant measures
• Dimensional characteristics of invariant measures for circle diffeomorphisms
• Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
• TIME CHANGES OF FLOWS1)

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