120 research outputs found
Random walks on free solvable groups
For any finitely generated group G, let n ---> \Phi_G(n) be the function that
describes the rough asymptotic behavior of the probability of return to the
identity element at time 2n of a symmetric simple random walk on G (this is an
invariant of quasi-isometry). We determine this function when G is the free
solvable group S_{d,r} of derived length d on r generators and some other
related groups
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