Tokyo Probability Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Date, time & place Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Makiko Sasada, Shuta Nakajima, Masato Hoshino

2024/10/28

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
We are having teatime from 15:15 in the common room on the second floor. Please join us.
Kohki Sakamoto (The University of Tokyo)
Harmonic measures in invariant random graphs on Gromov-hyperbolic spaces (日本語)
[ Abstract ]
In discrete group theory, a Cayley graph is a fundamental concept to view a finitely generated group as a geometric object itself. For example, the planar lattice is constructed from the free abelian group Z^2, and the 4-regular tree is constructed from the free group F_2. A group acts naturally on its Cayley graph as translations, so Bernoulli percolations on the graph can be viewed as a random graph whose distribution is invariant under the group action. In this talk, after reviewing previous works on such group-invariant random graphs, I will present my result concerning random walks on group-invariant random graphs over Gromov-hyperbolic groups. If time permits, I would also like to talk about the analogue in continuous spaces, such as Lie groups or symmetric spaces.