Space-time asymptotics of an infinite-dimensional diffusion having a long- range memory

  • We develop a cluster expansion in space-time for an infinite-dimensional system of interacting diffusions where the drift term of each diffusion depends on the whole past of the trajectory; these interacting diffusions arise when considering the Langevin dynamics of a ferromagnetic system submitted to a disordered external magnetic field.

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Metadaten
Author details:Sylvie RoellyGND, Michel Sortais
URN:urn:nbn:de:kobv:517-opus-6700
Publication type:Postprint
Language:English
Publication year:2004
Publishing institution:Universität Potsdam
Release date:2006/03/17
Tag:Interacting Diffusion Processes; Langevin Dynamics; Random Field Ising Model; Space-Time Cluster Expansions
Source:Markov Processes and Related Fields. - 10 (2004), S. 653 - 686
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Extern / Extern
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
External remark:
AMS Classifications: 60H10 , 60K35 , 82C22 , 82C44
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