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• W2263769969 abstract "We give a solution to the inverse problem (given a function, find a corresponding group) for large classes of speed, entropy, isoperimetric profile, return probability and $L_p$-compression functions of finitely generated groups of exponential volume growth. For smaller classes, we give solutions among solvable groups. As corollaries, we prove a recent conjecture of Amir on joint evaluation of speed and entropy exponents and we obtain a new proof of the existence of uncountably many pairwise non-quasi-isometric solvable groups, originally due to Cornulier and Tessera. We also obtain a formula relating the $L_p$-compression exponent of a group and its wreath product with the cyclic group for $p$ in $[1,2]$." @default.
• W2263769969 created "2016-06-24" @default.
• W2263769969 creator A5049433182 @default.
• W2263769969 creator A5060463095 @default.
• W2263769969 date "2019-02-25" @default.
• W2263769969 modified "2023-10-06" @default.
• W2263769969 title "Speed of random walks, isoperimetry and compression of finitely generated groups" @default.
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• W2263769969 hasPublicationYear "2019" @default.
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