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Universität Augsburg
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Universität Augsburg
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Professorin Dr. Lisa Hartung
Mainz
spricht am
Mittwoch, 24. Juni 2026
um
10:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We study the extreme value statistics of the zero-average Gaussian free field (GFF) on random r-regular graphs and the Gaussian free field on r-regular trees. For random r-regular graphs of diverging size, for every fixed r≥3, we show that the rescaled extremal point process of the field is asymptotically distributed, in the annealed sense, as a Poisson point process on the line with intensity e^{-x}dx. The same limit behaviour is obeyed by the restriction of the GFF on r-regular trees to finite subsets of vertices. Our approach relies on a direct Gaussian comparison argument and precise Green function estimates. This talk is based on joint work with Andreas Klippel and Christian Mönch. The talk assumes now prior knowledge of Gaussian free fields! |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Markus Heydenreich |