Algebraic recurrence of random walks on groups

PIMS-MPrime Summer School in Probability

授课人:Hilary Finucane

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Probability;    Random Walk;    Algebraically Recurrent;   

加拿大|英语

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND   
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