AG Mathematische Stochastik : Johannes Alt – Spectral Phases of Erdős–Rényi graphs

Datum: 19-07-2022Zeit: 16:15 – 18:15

Spectral Phases of Erdős–Rényi graphs

Abstract:
We consider the Erdős–Rényi graph on N vertices with edge probability d/N. It is
well known that the structure of this graph changes drastically when d is of
order log N. Below this threshold it develops inhomogeneities which lead to the
emergence of localized eigenvectors, while the majority of eigenvectors remains
delocalized. In this talk, I will present the phase diagram depicting these
localized and delo alized phases and our recent progress in establishing it
rigorously.
This is based on joint works with Raphael Ducatez and Antti Knowles.

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Details

Datum:
19-07-2022
Zeit:
16:15 – 18:15
Veranstaltungskategorien:
Oberseminar Stochastik