Probability Colloquium Augsburg-Munich
Next event:
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Friday, 24 January 2025 at Augsburg University
Institute of Mathematics, room 2004 (L1), Universit?tsstra?e 14, 86159 Augsburg
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Speakers:
- Lorenzo Taggi (Roma La Sapienza)
- Benedikt Jahnel (TU Braunschweig & WIAS Berlin)
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Schedule:
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14:30 ????????????? Welcome
15:00 - 16:00 ? Talk Lorenzo Taggi
16:00 ????????????? Coffee break
16:30 - 17:30?? Talk Benedikt Jahnel
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Titles and abstracts:
Lorenzo Taggi: t.b.a.
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Benedikt Jahnel: Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties
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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 K?ppl.?
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