210 citations · 786 across the 46 of their papers we have counts for
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math.PR2009
Perfect Matchings as IID Factors on Non-Amenable Groups
Russell Lyons, Fedor Nazarov
We prove that in every bipartite Cayley graph of every non-amenable group, there is a perfect matching that is obtained as a factor of independent uniform random variables. We also…
math.PR2009★ 25 cited
Poisson splitting by factors
Alexander E. Holroyd, Russell Lyons, Terry Soo
Given a homogeneous Poisson process on with intensity , we prove that it is possible to partition the points into two sets, as a deterministic function of the p…