Probability Colloquium Augsburg-Munich
Next event in Augsburg:
Friday, 24 January 2025 at Augsburg University
Institute of Mathematics, room 2004 (L1), Universitätsstraße 14, 86159 Augsburg
Speakers:
- Lorenzo Taggi (Roma La Sapienza)
- Benedikt Jahnel (TU Braunschweig & WIAS Berlin)
Schedule:
14:30 Welcome
15:00 - 16:00 Talk Lorenzo Taggi
16:00 Coffee break
16:30 - 17:30 Talk Benedikt Jahnel
Titles and abstracts:
Lorenzo Taggi: t.b.a.
Benedikt Jahnel: Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties
In this talk, we consider irreversible translation-invariant interacting particle systems on the d-dimensional hypercubic lattice with finite local state space, which admit at least one Gibbs measure as a time-stationary measure. Under some mild degeneracy conditions on the rates and the specification we prove, that zero relative entropy loss of a translation-invariant measure implies, that the measure is Gibbs with respect to the same specification as the time-stationary Gibbs measure. As an application, we obtain the attractor property for irreversible interacting particle systems, which says that any weak limit point of any trajectory of translation-invariant measures is a Gibbs measure with respect to the same specification as the time-stationary measure. This extends previously known results to fairly general irreversible interacting particle systems and joined work with Jonas Köppl.