Oleksiy Sukaylo - Boundaries of hyperbolic graphs​

April 26, 2021 at 12:15 p.m.

Abstract

This talk will be about a famous result from Alano Ancona. He proved that under certain conditions the Martin boundary of a graph is equivalent to its geometric boundary. We introduce the notions of the Green function, the Martin boundary and the Gromov boundary. We provide several examples for illustration. At the end we state the result and present some ideas of the proof. We conclude the talk by giving an outlook to ongoing research.

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