TY  - JOUR
A1  - Zass, Alexander
T1  - Gibbs point processes on path space
T2  - Markov processes and related fields
N2  - We present general existence and uniqueness results for marked models with pair interactions, exemplified through Gibbs point processes on path space. 
More precisely, 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.
KW  - marked Gibbs point processes
KW  - DLR equations
KW  - uniqueness
KW  - cluster
KW  - expansion
KW  - infinite-dimensional diffusions
Y1  - 2021
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/64977
UR  - https://math-mprf.org/journal/articles/id1643/
SN  - 1024-2953
VL  - 28
IS  - 3
SP  - 329
EP  - 364
PB  - Polymat
CY  - Moscow
ER  -