Large deviations for Glauber dynamics of continuous gas

DOI10.1007/s11425-008-0025-zzbMath1146.60024OpenAlexW1496419533MaRDI QIDQ943449

Qiongxia Song

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0025-z

zbMATH Keywords

empirical processesGibbs measureslarge deviation principlesglauber dynamics

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Large deviations (60F10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

• Nearest neighbor birth and death processes on the real line
• Feynman-Kac semigroups, ground state diffusions, and large deviations
• Essential spectral radius for Markov semigroups. I: Discrete time case
• Estimate of spectral gap for continuous gas
• Uniformly integrable operators and large deviations for Markov processes
• The spectral gap for a Glauber-type dynamics in a continuous gas
• Logarithmic Sobolev inequality for lattice gases mixing conditions
• Glauber dynamics of continuous particle systems
• Théoremes de caractérisation d'une meilleure approximation dans un espace norme et généralisation de l'algorithme de Remes
• Asymptotic evaluation of certain markov process expectations for large time, I
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