Seminar Interacting Random Systems

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Mittwoch, 19.12.2018, 11:30 Uhr (WIAS-406)
C. Betken, Universität Osnabrück:
Dynamic random graphs: Sedentary random waypoint and preferential attachment models
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

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Seminar Interacting Random Systems

Veranstalter
WIAS Berlin
Mittwoch, 23.01.2019, 11:30 Uhr (WIAS-406)
P. Houdebert, Aix-Marseille Université, Frankreich:
Sharp phase transition for the Widom-Rowlinson model
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Abstrakt
The Widom-Rowlinson model is formally defined as two homogeneous Poisson point processes forbidding the points of different type to be too close. For this Gibbs model the question of uniqueness/ non-uniqueness depending on the two intensities is relevant. This model is famous because it was the first continuum Gibbs model for which phase transition was proven, in the symmetric case of equal intensities large enough. But nothing was known in the non-symmetric case, where it is conjectured that uniqueness would hold. In a recent work with D. Dereudre (Lille), we partially solved this conjecture, proving that for large enough activities the phase transition is only possible in the symmetric case of equal intensities. The proof uses percolation and stochastic domination arguments.

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Seminar Interacting Random Systems

Veranstalter
WIAS Berlin
Organiser: Michiel Renger