An explicit uniqueness region for Gibbs point processes

16.12.2020, 13:00
Forschungsseminar Wahrscheinlichkeitstheorie

Alexander Zass (Potsdam)

We present a uniqueness result for Gibbs point processes with repulsive pair interaction; in particular, we provide an explicit uniqueness region in terms of the activity and inverse temperature parameters. The technique used relies on applying to the continuous setting the classical Dobrushin criterion. We also present a comparison to the two other uniqueness methods of cluster expansion and disagreement percolation.

The Zoom access data are available on the programm of the Research Seminar. See

https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-Wahr/Roelly/FS_20-21.pdf