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    Gibbs point processes on path space: Existence, cluster expansion and uniqueness
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021) Zass, Alexander
    We study a class of infinite-dimensional diffusions under Gibbsian interactions, in the context of marked point configurations: The starting points belong to R^d, and the marks are the paths of Langevin diffusions. We use the entropy method to prove existence of an infinite-volume Gibbs point process and use cluster expansion tools to provide an explicit activity domain in which uniqueness holds.