Critical Constants for Recurrence on Groups of Polynomial Growth
نویسندگان
چکیده
منابع مشابه
Critical constants for recurrence on groups of polynomial growth
The critical constant for recurrence, cr t , is an invariant of the quotient space H\G of a finitely generated group. The constant is determined by the largest moment a probability measure on G can have without the induced random walk on H\G being recurrent. We present a description of which subgroups of groups of polynomial volume growth are recurrent. Using this we show that for such recurren...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2010
ISSN: 1083-6489
DOI: 10.1214/ejp.v15-773