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Spectral measures of factor of i.i.d. processes on the regular tree
Multi angle
Authors : Backhausz, Agnes (Author of the conference)
CIRM (Publisher )
05C80 - Random graphs
60G15 - Gaussian processes
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 05C80 - Random graphs
60G15 - Gaussian processes
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/01/16 Conference Date : 07/01/16 Subseries : Research talks arXiv category : Probability ; Combinatorics Mathematical Area(s) : Combinatorics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:54:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-01-07_Backhausz.mp4 
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Information on the Event
Event Title : Spectre de graphes aléatoires / Spectrum of random graphsEvent Organizers : Bordenave, Charles ; Guionnet, Alice ; Virág, Bálint Dates : 04/01/16 - 08/01/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1186.html
Citation Data
DOI : 10.24350/CIRM.V.18912703Cite this video as: Backhausz, Agnes (2016). Spectral measures of factor of i.i.d. processes on the regular tree. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18912703 URI : http://dx.doi.org/10.24350/CIRM.V.18912703 |
See Also
- [Multi angle] Random walk on random digraph / Author of the conference Salez, Justin.
- [Multi angle] Anchored expansion in the hyperbolic Poisson Voronoi tessellation / Author of the conference Paquette, Elliot.
- [Multi angle] Random irregular graphs are nearly Ramanujan / Author of the conference Puder, Doron.
- [Post-edited] Non-backtracking spectrum of random graphs: community detection and non-regular Ramanujan graphs / Author of the conference Massoulié, Laurent.
Bibliography
- Backhausz, Á., & Virág, B. (2015). Spectral measures of factor of i.i.d. processes on vertex-transitive graphs.
