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On a theorem of Furstenberg
Multi angle
Authors : Eskin, Alex (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
A deep result of Furstenberg from 1967 states that if $\Gamma$ is a lattice in a semisimple Lie group $G$, then there exists a measure on $\Gamma$ with finite first moment such that the corresponding harmonic measure on the Furstenberg boundary is absolutely continuous. I will discuss some of the history of this result and some recent generalizations.
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/10/2022 Conference Date : 22/09/2022 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Geometry Format : MP4 (.mp4) - HD Video Time : 01:00:31 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-09-22_Eskin.mp4 
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Information on the Event
Event Title : Combinatorics, Dynamics and Geometry on Moduli Spaces / Combinatoire, dynamique et géométrie dans les espaces de modulesEvent Organizers : Forni, Giovanni ; Lanneau, Erwan ; Matheus, Carlos ; Ulcigrai, Corinna ; Wienhard, Anna Dates : 19/09/2022 - 23/09/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2627.html
Citation Data
DOI : 10.24350/CIRM.V.19960303Cite this video as: Eskin, Alex (2022). On a theorem of Furstenberg. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19960303 URI : http://dx.doi.org/10.24350/CIRM.V.19960303 |
See Also
- [Multi angle] Real-normalised differential with a single order 2 pole / Author of the conference Skripchenko, Alexandra.
- [Multi angle] Counting pairs of saddle connections on translations surfaces / Author of the conference Masur, Howard.
- [Multi angle] Volumes of odd strata of differentials / Author of the conference Goujard, Élise.
- [Multi angle] Large genus asymptotics in flat surfaces / Author of the conference Aggarwal, Amol.
Bibliography
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