Spectre de graphes aléatoires / Spectrum of random graphs

Collection Spectre de graphes aléatoires / Spectrum of random graphs

Organizer(s) Bordenave, Charles ; Guionnet, Alice ; Virág, Bálint

Date(s) 04/01/2016 - 08/01/2016

linked URL http://conferences.cirm-math.fr/1186.html

00:00:00 / 00:00:00

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Spectral measures of factor of i.i.d. processes on the regular tree

By Ágnes Backhausz

Also appears in collection : Exposés de recherche

We prove that a measure on $[-d,d]$ is the spectral measure of a factor of i.i.d. process on a vertex-transitive infinite graph if and only if it is absolutely continuous with respect to the spectral measure of the graph. Moreover, we show that the set of spectral measures of factor of i.i.d. processes and that of $\bar{d}_2$-limits of factor of i.i.d. processes are the same.

Information about the video

Date of recording 07/01/2016
Date of publication 29/01/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18912703
Cite this video Backhausz, Ágnes (07/01/2016). Spectral measures of factor of i.i.d. processes on the regular tree. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18912703
URL https://dx.doi.org/10.24350/CIRM.V.18912703

Domain(s)

Bibliography

Backhausz, Á., & Virág, B. (2015). Spectral measures of factor of i.i.d. processes on vertex-transitive graphs. <arXiv:1505.07412> - http://arxiv.org/abs/1505.07412

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