Product type potential on the one-dimensional lattice systems: selection of maximizing probability and a large deviation principle

DOI10.1007/s12346-022-00576-zOpenAlexW4220830926MaRDI QIDQ2114410

Yanyan Li

Publication date: 15 March 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00576-z

zbMATH Keywords

compact metric spaceergodic optimizationone-dimensional lattice systemequilibrium probability

Mathematics Subject Classification ID

Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (1)

On information gain, Kullback-Leibler divergence, entropy production and the involution kernel

Cites Work

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• A variational principle for the specific entropy for symbolic systems with uncountable alphabets
• Ergodic Optimization in the Expanding Case
• Spectral properties of the Ruelle operator for product-type potentials on shift spaces

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