Algebraic recurrence of groups
Consider a symmetric random walk on a group G. If the trace of the random walk generates G as a semigroup almost surely, then we say that G is algebraically recurrent. In this talk, we will present some initial steps towards understanding algebraic recurrence, including examples of algebraically recurrent and non-algebraically recurrent groups. We will conclude with some open questions.
This is joint work with Itai Benjamini and Romain Tessera.
תאריך עדכון אחרון : 14/03/2012