Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

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

Duration: 30 minutes

Location: CAB G51

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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