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