Totally dissipative measures for the shift and conformal \(\sigma \)-finite measures for the stable holonomies

DOI10.1007/s00574-010-0001-4zbMath1201.37009OpenAlexW2052016722MaRDI QIDQ968022

Renaud Leplaideur

Publication date: 3 May 2010

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://hal-unc.archives-ouvertes.fr/hal-02915272/file/dotted-syst-flot-horo17.pdf

zbMATH Keywords

holonomyshiftholeGibbs statesreturn time\(\sigma \)-finite measuredotted-system

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonsingular (and infinite-measure preserving) transformations (37A40) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

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