Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, December 18, 2012, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Wolfgang Woess (Graz University of Technology)

On the duality between jump processes on ultrametric spaces and random walks on trees

Ultrametric spaces arise in various contexts, such as the p-adic numbers, the space of ends of an infinite tree, or the space of all rooted (finite or infinite) locally finite, connected graphs. Every reasonable ultrametric space can be described as the space of ends of a tree.

There is a very natural recent construction of Markov processes on ultrametric spaces, due to Bendikov, Grigoryan and Pittet. It simplifies previous concepts and allows a very detailed analysis.

In my talk, I will try to explain the link between those processes and random walks on trees.

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