Summary
Generalized stochastic gradient systems for infinite lattice models are investigated. The allowed strength of the interaction depends on the dimension of the lattice. The semigroup of transition probabilities is constructed and its regularity properties are also discussed. Some results of Doss and Royer [2] are improved.
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Fritz, J. Infinite lattice systems of interacting diffusion processes, existence and regularity properties. Z. Wahrscheinlichkeitstheorie verw Gebiete 59, 291–309 (1982). https://doi.org/10.1007/BF00532222
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DOI: https://doi.org/10.1007/BF00532222