On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics

DOI10.4171/JEMS/9zbMath1169.82302OpenAlexW2039089749MaRDI QIDQ1772562

Nalini Anantharaman

Publication date: 18 April 2005

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_issue.php?issn=1435-9855&vol=6&iss=2

zbMATH Keywords

Gibbs measuresFrenkel-Kontorova modelsRuelle-Pesin inequalityViscous Hamilton-Jacobi equation, Mather set

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Classical equilibrium statistical mechanics (general) (82B05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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