Speaker: Mahan Mj, TIFR Mumbai
November 30, 2024 11:30 AM
- 12:30 PM
Abstract:
First passage percolation (FPP) gives a well-known model of random geometry on a fixed background infinite graph. When we specialize to Cayley graphs of Gromov-hyperbolic groups G, random trees T emerge naturally. The first part of the talk will dwell on setting up hyperbolic FPP and outlining its basic properties. This will have a probabilistic emphasis.
In the second part, we will specialize to the study of exceptional directions, i.e. distinct random geodesics in T that converge asymptotically to the same point in the boundary ∂G of G. This will have a geometric group theoretic emphasis. (Joint work with Riddhipratim Basu).