ICTS:34430

Extremes of the zero-average Gaussian Free Field on random regular graphs

(2026). Extremes of the zero-average Gaussian Free Field on random regular graphs. SciVideos. https://scivideos.org/icts-tifr/34430

Extremes of the zero-average Gaussian Free Field on random regular graphs. SciVideos, Apr. 17, 2026, https://scivideos.org/icts-tifr/34430 

          @misc{ scivideos_ICTS:34430,
            doi = {},
            url = {https://scivideos.org/icts-tifr/34430},
            author = {},
            keywords = {},
            language = {en},
            title = {Extremes of the zero-average Gaussian Free Field on random regular graphs},
            publisher = {},
            year = {2026},
            month = {apr},
            note = {ICTS:34430 see, \url{https://scivideos.org/icts-tifr/34430}}
          }
Lisa Hartung
Talk numberICTS:34430
Source RepositoryICTS-TIFR
Collection

Abstract

This talk is based on joint work with Andreas Klippel and Christian Mönch. 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−xdx. 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.