Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

Hirofumi Osada

doi:10.1007/BF02099365

Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

Hirofumi Osada

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

We construct infinite-dimensional Wiener processes with interactions by constructing specific quasi-regular Dirichlet forms. Our assumptions are very mild; accordingly, our results can be applied to singular interactions such as hard core potentials, Lennard-Jones type potentials, and Dyson's model. We construct non-equilibrium dynamics.

Original language	English
Pages (from-to)	117-131
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	176
Issue number	1
DOIs	https://doi.org/10.1007/BF02099365
Publication status	Published - 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02099365

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title = "Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions",

abstract = "We construct infinite-dimensional Wiener processes with interactions by constructing specific quasi-regular Dirichlet forms. Our assumptions are very mild; accordingly, our results can be applied to singular interactions such as hard core potentials, Lennard-Jones type potentials, and Dyson's model. We construct non-equilibrium dynamics.",

author = "Hirofumi Osada",

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Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

Abstract

All Science Journal Classification (ASJC) codes

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