$2022 - T2 - WS2 - Self-similarity of groups, trees and fractals$

Collection 2022 - T2 - WS2 - Self-similarity of groups, trees and fractals

Organizer(s) Erschler, Anna ; Leemann, Paul-Henry ; Nagnibeda, Tatiana ; Skipper, Rachel

Date(s) 30/05/2022 - 03/06/2022

linked URL https://indico.math.cnrs.fr/event/6576/

12 14

Harmonic functions on linear groups

The Poisson boundary of a group is a probabilistic object which serves a dual role. It represents the space of asymptotic trajectories a random walk might take and it represents the possible space of bounded harmonic functions on a group.

In this talk I will discuss the Poisson boundary for linear groups. In particular I will focus on the question of when the boundary is trivial in which case all bounded harmonic functions on the group are constant. This is joint work with Anna Erschler.

Information about the video

Date of recording 03/06/2022
Date of publication 04/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Alexandre Duplessis, Marco Perez
Format MP4
Venue Amphitheater Hermite, IHP

Citation data

DOI 10.57987/IHP.2022.T2.WS2.012
Cite this video Frisch, Josh (03/06/2022). Harmonic functions on linear groups. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS2.012
URL https://dx.doi.org/10.57987/IHP.2022.T2.WS2.012

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