Convergence of path measures arising from a mean field or polaron type interaction

DOI10.1007/BF01192166zbMath0791.60093MaRDI QIDQ1326310

Jean-Dominique Deuschel, Erwin Bolthausen, Uwe Schmock

Publication date: 18 May 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

mean field interactiondifferentiable interactionlimiting path measures of Markov processespolaron type interactiontransition from the polaron type to the mean field interaction

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Large deviations for trapped interacting Brownian particles and paths ⋮ On self-attracting \(d\)-dimensional random walks ⋮ Laplace approximation for stochastic line integrals ⋮ The low-temperature phase of Kac-Ising models

Cites Work

• On the maximum entropy principle for uniformly ergodic Markov chains
• Strong coupling limit for a certain class of polaron models
• On the convergence of sums of independent Banach space valued random variables
• Asymptotics for the polaron
• The free energy of the dirac polaron, an explicit solution
• Asymptotic evaluation of certain markov process expectations for large time. IV
• What is the Laplace Transform?
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