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Universität Augsburg
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Universität Augsburg
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Marcus Pappik
HPI Potsdam
spricht am
Mittwoch, 25. Juni 2025
um
14:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Gibbs point processes are a central tool for modeling gasses of interacting particles in statistical physics. A fundamental question is identifying conditions such that the Dobrushin–Lanford–Ruelle formalism defines a unique infinite-volume version of their distribution. In this talk, I present a new bound for the uniqueness activity regime of Gibbs point processes that interact via locally-stable, bounded-range (pair) potentials in Euclidean space. In this setting, our result provides a constant factor improvement over the classical Penrose–Ruelle bound. We obtain our result by adapting a proof technique by Dyer et al. (Rand. Struct. & Alg. ’04) for discrete lattice spin systems: We show that rapid mixing of a class of finite-volume spatial birth-death dynamics implies a notion of spatial mixing of the finite-volume Gibbs point process, which in turn yields uniqueness of the infinite-volume Gibbs measure. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Markus Heydenreich |