2022 - T2 - WS3 - Hyperbolic groups and their generalisations

Collection 2022 - T2 - WS3 - Hyperbolic groups and their generalisations

Organizer(s) Dahmani, François ; Drutu, Cornelia ; Hagen, Mark ; Huang, Jingyin

Date(s) 20/06/2022 - 24/06/2022

linked URL https://indico.math.cnrs.fr/event/6577/

12 21

Central Limit Theorem for groups acting on a Cat(0) cubical complex

By Jean Lecureux

Let G be a group acting on a Cat(0) cubical complex X. Consider a random walk Z_n=g_1...g_n on G, obtained by multiplying independently chosen random elements g_i of the same law. If x_0 is an origin in X, we prove that the random variable d(Z_nx_0,x_0) satisfies a Central Limit Theorem. Along the way, we obtain a nice characterization of the boundary of the contact graph of X, as a subset of the Roller boundary. This is a joint work with Talia Fernós and Frédéric Mathéus.

Information about the video

Date of recording 22/06/2022
Date of publication 07/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Alexandre Duplessis, Marco Perez
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2022.T2.WS3.011
Cite this video Lecureux, Jean (22/06/2022). Central Limit Theorem for groups acting on a Cat(0) cubical complex. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS3.011
URL https://dx.doi.org/10.57987/IHP.2022.T2.WS3.011

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