1 results
Search Results
Now showing 1 - 1 of 1
Loading...
Item
Gibbs point processes on path space: Existence, cluster expansion and uniqueness
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.