55 citations · 314 across the 46 of their papers we have counts for
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math.MG2007★ 4 cited
Embeddings of discrete groups and the speed of random walks
Assaf Naor, Yuval Peres
For a finitely generated group G and a banach space X let α^*_X(G) (respectively α^#_X(G)) be the supremum over all α\ge 0 such that there exists a Lipschitz mapping (respectively…
math.MG2007
Trees and Markov convexity
James R. Lee, Assaf Naor, Yuval Peres
We show that an infinite weighted tree admits a bi-Lipschitz embedding into Hilbert space if and only if it does not contain arbitrarily large complete binary trees with uniformly…
math.MG2007★ 22 cited
The wreath product of Z with Z has Hilbert compression exponent 2/3
Tim Austin, Assaf Naor, Yuval Peres
Let G be a finitely generated group, equipped with the word metric d associated with some finite set of generators. The Hilbert compression exponent of G is the supremum over all $…