Optimal transport and dynamics of expanding circle maps acting on measures

DOI10.1017/S014338571100109XzbMath1277.37058arXiv1006.4491OpenAlexW3102089484MaRDI QIDQ4928738

Benoît R. Kloeckner

Publication date: 18 June 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4491

zbMATH Keywords

Wasserstein metricPerron-Frobenius operatormetric mean dimensionexpanding circle mapsnearly invariant measures

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

Mean dimension and metric mean dimension for non-autonomous dynamical systems ⋮ Duality theorems in ergodic transport ⋮ Counter-examples to an infinitesimal version of the Furstenberg conjecture ⋮ A variational principle for the metric mean dimension of free semigroup actions

Cites Work

• Some geometric calculations on Wasserstein space
• Mean topological dimension
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Fractals with Positive Length and Zero Buffon Needle Probability
• Optimal Transport
• Unnamed Item
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