Zeta measures and thermodynamic formalism for temperature zero
From MaRDI portal
Publication:711434
DOI10.1007/s00574-010-0021-0zbMath1213.37036arXiv0912.4771OpenAlexW2092781711MaRDI QIDQ711434
Jairo K. Mengue, Artur Oscar Lopes
Publication date: 26 October 2010
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.4771
Large deviations (60F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Orbit growth in dynamical systems (37C35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
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, Duality theorems in ergodic transport, Selection of measure and a large deviation principle for the general one-dimensionalXYmodel, Ergodic optimization in dynamical systems, On the selection of subaction and measure for a subclass of potentials defined by P. Walters
Cites Work
- On the zero-temperature limit of Gibbs states
- The fish has no bones
- Negative entropy, zero temperature and Markov chains on the interval
- Ergodic optimization
- Lyapunov minimizing measures for expanding maps of the circle
- Rate of approximation of minimizing measures
- Recurrence of Co-Cycles and Random Walks
- Optimal orbits of hyperbolic systems
- Generic properties and problems of minimizing measures of Lagrangian systems
- A sufficient condition for the subordination principle in ergodic optimization
- A LARGE DEVIATION PRINCIPLE FOR THE EQUILIBRIUM STATES OF HÖLDER POTENTIALS: THE ZERO TEMPERATURE CASE
- A Variational Characterization of Finite Markov Chains
- A dynamical proof for the convergence of Gibbs measures at temperature zero
- Unnamed Item
- Unnamed Item
- Unnamed Item
