Intermittency and weak Gibbs states

DOI10.1088/0951-7715/13/5/314zbMath1005.37007OpenAlexW2140869694MaRDI QIDQ4515406

Christian Maes, Frank Redig, Annelies Van Moffaert, Evgeny Verbitskiy

Publication date: 27 February 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/3126586/2000NonlinMaes.pdf

zbMATH Keywords

thermodynamic formalismintermittencylattice spin systemsnonuniformly expanding mapsManneville-Pomeau mapsnonuniformly convergent interactionsweakly Gibbsian state

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (9)

Relative entropy and variational properties of generalized Gibbsian measures. ⋮ Parameter estimation in Manneville-Pomeau processes ⋮ Level-2 large deviation principle for countable Markov shifts without Gibbs states ⋮ Weak Gibbs measures for intermittent systems and weakly Gibbsian states in statistical mechanics ⋮ Targets, local weak $\sigma$ -Gibbs measures and a generalized Bowen dimension formula ⋮ Copulas related to Manneville-Pomeau processes ⋮ Renormalizing the renormalization group pathologies ⋮ Entropy production at weak Gibbs measures and a generalized variational principle ⋮ Large deviations for countable to one Markov systems

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