Yuval Peres

most citedValleys and the maximum local time for random walk in random environment

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2005★ 1 cited

Valleys and the maximum local time for random walk in random environment

Amir Dembo, Nina Gantert, Yuval Peres +1

Let $ξ (n, x)$ be the local time at $x$ for a recurrent one-dimensional random walk in random environment after $n$ steps, and consider the maximum $ξ^{*} (n) = max_{x} ξ (n, x)$ . It is k…

math.PR2005

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…

math.PR2005★ 1 cited

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…

math.DS2005

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 ${x \mapsto d_{i} + λ_{i} Y x}_{i = 1}^{m}$ , where $d_{i} \in R$ and $λ_{i} > 0$ …