Probability Colloquium Augsburg-Munich

Next event in Munich:

 

Monday, 16 December 2024 at LMU Munich

Department of Mathematics, Room B 349, Theresienstr. 39, 80333 München
 

Speakers:

 

Schedule:

 

14:30               Welcome

15:00 - 16:00   Talk Alexander Glazman

16:00               Coffee break

16:30 - 17:30   Talk Felix Joos

 


 

Next event in Augsburg:

 

Friday, 24 January 2025 at Augsburg University

Institute of Mathematics, room 2004 (L1), Universitätsstraße 14, 86159 Augsburg

 

Speakers:

 

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. 
 
 
 

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