A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point
DOI10.1007/s11005-022-01573-8OpenAlexW3215397620WikidataQ113900756 ScholiaQ113900756MaRDI QIDQ2674352
Eduardo Garibaldi, Irene Inoquio-Renteria
Publication date: 12 September 2022
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12882
thermodynamic formalismmodulus of continuityequilibrium statesintermittent mapsnonuniformly expanding dynamics
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Dynamical systems involving maps of the circle (37E10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equilibrium states for interval maps: potentials with \(\sup\varphi- \inf\varphi<h_{\mathrm{top}}(f)\)
- Estimates of the invariant densities of endomorphisms with indifferent fixed points
- Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property
- Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials
- Coupling methods for random topological Markov chains
- On the uniqueness of equilibrium states for piecewise monotone mappings
- Foundations of Ergodic Theory
- Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps
- Entropy of piecewise monotone mappings
- Equilibrium states for piecewise monotonic transformations
- Conformal measure and decay of correlation for covering weighted systems
- Thermodynamic Formalism
- An optimal transportation approach to the decay of correlations for non-uniformly expanding maps
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Regularly varying functions
This page was built for publication: A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point