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 nonequilibrium dynamics.
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01 December 2021
A Correction to this paper has been published: https://doi.org/10.1007/s00220-021-04250-4
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Communicated by H. Araki
Dedicated to Professor Masatoshi Fukushima on his 60th birthday
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Osada, H. Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions. Commun.Math. Phys. 176, 117–131 (1996). https://doi.org/10.1007/BF02099365
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DOI: https://doi.org/10.1007/BF02099365