The involution kernel and the dual potential for functions in the Walters' family
DOI10.1007/s12346-022-00732-5OpenAlexW4313400529MaRDI QIDQ2112236
L. Y. Hataishi, Artur Oscar Lopes
Publication date: 9 January 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.00996
Stationary stochastic processes (60G10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Statistical aspects of information-theoretic topics (62B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalized detailed balance relation
- A first-order level-2 phase transition in thermodynamic formalism
- Large deviations, fluctuations and shrinking intervals
- Positivity of entropy production in nonequilibrium statistical mechanics
- The zeta function, non-differentiability of pressure, and the critical exponent of transition
- Large deviations for equilibrium measures and selection of subaction
- Time-reversal and entropy
- Ergodic transport theory and piecewise analytic subactions for analytic dynamics
- On the dimension of the space of harmonic functions on transitive shift spaces
- Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure
- On involution kernels and large deviations principles on \(\beta\)-shifts
- On information gain, Kullback-Leibler divergence, entropy production and the involution kernel
- Ruelle operator for continuous potentials and DLR-Gibbs measures
- Explicit examples in ergodic optimization
- Phase transitions in one-dimensional translation invariant systems: a Ruelle operator approach
- Exact bounds for the polynomial decay of correlation, 1/fnoise and the CLT for the equilibrium state of a non-Hölder potential
- Duality between eigenfunctions and eigendistributions of Ruelle and Koopman operators via an integral kernel
- On the selection of subaction and measure for a subclass of potentials defined by P. Walters
- Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature
- THE POTENTIAL POINT OF VIEW FOR RENORMALIZATION
- Gibbs states and Gibbsian specifications on the space ℝℕ
- Eigenfunctions of the Laplacian and associated Ruelle operator
- A natural space of functions for the Ruelle operator theorem
- A general renormalization procedure on the one-dimensional lattice and decay of correlations
- Correlation inequalities and monotonicity properties of the Ruelle operator
- Spectral properties of the Ruelle operator for product-type potentials on shift spaces
- Selection of Ground States in the Zero Temperature Limit for a One-Parameter Family of Potentials
- A LARGE DEVIATION PRINCIPLE FOR THE EQUILIBRIUM STATES OF HÖLDER POTENTIALS: THE ZERO TEMPERATURE CASE
- Entropy production and information gain in axiom-A systems
This page was built for publication: The involution kernel and the dual potential for functions in the Walters' family