55 citations · 252 across the 32 of their papers we have counts for
5 papers · 1 filter
Valleys and the maximum local time for random walk in random environment
Amir Dembo, Nina Gantert, Yuval Peres +1
Let be the local time at for a recurrent one-dimensional random walk in random environment after steps, and consider the maximum . It is k…
Tail Bounds for the Stable Marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let Ξbe a discrete set in R^d. Call the elements of Ξcenters. The well-known Voronoi tessellation partitions R^d into polyhedral regions (of varying volumes) by allocating each sit…
A stable marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let be a discrete set in . Call the elements of centers. The well-known Voronoi tessellation partitions into polyhedral regions (of varying…
Universal finitary codes with exponential tails
Nate Harvey, Alexander E. Holroyd, Yuval Peres +1
In 1977, Keane and Smorodinsky showed that there exists a finitary homomorphism from any finite-alphabet Bernoulli process to any other finite-alphabet Bernoulli process of strictl…
Absolute continuity for random iterated function systems with overlaps
Yuval Peres, Károly Simon, Boris Solomyak
We consider linear iterated function systems with a random multiplicative error on the real line. Our system is , where and …