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Simple random walk on supercritical causal maps

Presented by: 
Thomas Budzinski ENS - Paris, Université Paris-Sud 11
Date: 
Monday 16th July 2018 - 14:35 to 14:55
Venue: 
INI Seminar Room 1
Abstract: 
We study the simple random walk on supercritical causal maps, obtained from a supercritical Galton-Watson tree by adding at each level a cycle joining neighbour vertices. In particular, we will prove that, if
the underlying tree has no leaf, the simple random walk has almost sure positive speed.





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    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons