The double transpose of the Ruelle operator
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Publication:2689301
DOI10.1007/s00605-022-01818-7OpenAlexW2761474000MaRDI QIDQ2689301
Aernout C. D. van Enter, Leandro M. Cioletti, Ricardo Ruviaro
Publication date: 9 March 2023
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03841
thermodynamic formalismeigenfunctionsequilibrium statesRuelle operatorergodic theorydouble transpose
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Measure-theoretic ergodic theory (28Dxx)
Cites Work
- Gibbs measures and phase transitions.
- Thermodynamic formalism and applications to dimension theory
- Every ergodic measure is uniquely maximizing
- Maximal Lyapunov exponents for random matrix products
- Differentiability properties of the pressure in lattice systems
- Hausdorff dimension of quasi-circles
- Estimates of the invariant densities of endomorphisms with indifferent fixed points
- The Ruelle-Araki transfer operator in classical statistical mechanics
- Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions
- Existence of phase transitions for long-range interactions
- Nonuniqueness in \(g\)-functions
- On the dimension of the space of harmonic functions on transitive shift spaces
- A convex analysis approach to entropy functions, variational principles and equilibrium states
- Ruelle operator for continuous potentials and DLR-Gibbs measures
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
- Phase transitions in one-dimensional translation invariant systems: a Ruelle operator approach
- A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule
- Statistical mechanics of a one-dimensional lattice gas
- Markov partitions and \(C\)-diffeomorphisms
- La condition de Walters
- Spectral properties of the Ruelle operator on the Walters class over compact spaces
- ON THE GENERAL ONE-DIMENSIONAL XY MODEL: POSITIVE AND ZERO TEMPERATURE, SELECTION AND NON-SELECTION
- Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature
- The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces
- Hausdorff dimension for horseshoes
- A natural space of functions for the Ruelle operator theorem
- Some convexity questions arising in statistical mechanics.
- On the Existence of Conformal Measures
- Bernoulli equilibrium states for axiom A diffeomorphisms
- A Variational Principle for the Pressure of Continuous Transformations
- Examples for the Nonuniqueness of the Equilibrium State
- Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
- Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
- Thermodynamic formalism for countable symbolic Markov chains
- A probabilistic approach to intermittency
- On the convergence to equilibrium states for certain non-hyperbolic systems
- [https://portal.mardi4nfdi.de/wiki/Publication:4401805 Principe variationnel et syst�mes dynamiques symboliques]
- Convergence of the Ruelle operator for a function satisfying Bowen’s condition
- A variational principle for the specific entropy for symbolic systems with uncountable alphabets
- Existence of Gibbs measures for countable Markov shifts
- Thermodynamic Formalism
- Thermodynamic formalism for countable Markov shifts
- The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence
- An optimal transportation approach to the decay of correlations for non-uniformly expanding maps
- Spectral properties of the Ruelle operator for product-type potentials on shift spaces
- ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
- Markov Partitions for Axiom A Diffeomorphisms
- GIBBS MEASURES IN ERGODIC THEORY
- Statistics of the Two-Dimensional Ferromagnet. Part I
- Finitely Additive Measures
- Phase transitions in long-range Ising models and an optimal condition for factors of -measures
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Gibbs states on the symbolic space over an infinite alphabet
- On Ruelle-Perron-Frobenius operators. I: Ruelle theorem
- On Ruelle-Perron-Frobenius operators. II: Convergence speeds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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