– Campus Golm, Building 28, Room 0.102
SIAM Student Chapter Seminar for Early Career Researchers
Agniva Datta, Jan Albrecht
We present some results on the existence and uniqueness of marked Gibbs point processes. Firstly, we prove in a general setting the existence of an infinite-volume marked Gibbs point process, via the so-called entropy method from large deviations theory. We then adapt it to the setting of infinite-dimensional Langevin diffusions, put in interaction via a Gibbsian description; we also obtain the uniqueness of such a Gibbs process via cluster expansion techniques. Finally, we explore the question of uniqueness in the case of repulsive interactions, in a novel approach to uniqueness by applying the discrete Dobrushin criterion to the continuum framework.
Zoom access data are available by contacting Mrs. Enders by mail (winnie.enders"at"uni-potsdam.de) .