01.02.2023, 14:15 Uhr
– Raum 2.09.2.22 und Zoom, Public Viewing im Raum 2.09.0.17
Institutsveranstaltung
Maria-Weber lecture
Dr. Siegfried Beckus (UP)
Tanja Pasurek (Bielefeld)
We extend the classical Dobrushin's uniqueness criterion to Markov random fields on general graphs and with single-spin spaces that need not be locally compact. As a by-product of the method, we establish the exponential decay of correlations in the uniqueness regime. The applicability of the theory will be shown for continuous particle systems (with possibly non-trivial internal structure), including Gibbs fields on (marked) configurations. In conclusion, we touch upon a complementary question about the multiplicity (phase transition) in such models.
Based on joint work with Yuri Kondratiev and Michael Röckner.