Short-time Gibbsianness for infinite-dimensional diffusions with space-time interaction

DOI10.1007/s10955-010-9926-7zbMath1188.82047arXiv0909.4640OpenAlexW3100343367MaRDI QIDQ967631

Frank Redig, Wioletta M. Ruszel, Sylvie Roelly

Publication date: 30 April 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4640

zbMATH Keywords

delay equationsGirsanov formulacluster expansiontime-reversalnon-Markovian driftinfinite-dimensional diffusion

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60)

Related Items (6)

Low-temperature dynamics of the Curie-Weiss model: Periodic orbits, multiple histories, and loss of Gibbsianness ⋮ Local weak convergence for sparse networks of interacting processes ⋮ Interacting stochastic processes on sparse random graphs ⋮ Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model ⋮ Gibbs-non-Gibbs properties for evolving Ising models on trees ⋮ Locally interacting diffusions as Markov random fields on path space

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• Langevins stochastic differential equation extended by a time-delayed term
• A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES

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