113 citations · 549 across the 71 of their papers we have counts for
7 papers · 2 filters
Continuum Percolation for Gaussian zeroes and Ginibre eigenvalues
Subhro Ghosh, Manjunath Krishnapur, Yuval Peres
We study continuum percolation on certain negatively dependent point processes on \R^2. Specifically, we study the Ginibre ensemble and the planar Gaussian zero process, which are…
Shortest-weight paths in random regular graphs
Hamed Amini, Yuval Peres
Consider a random regular graph with degree and of size . Assign to each edge an i.i.d. exponential random variable with mean one. In this paper we establish a precise asymp…
Detecting the trail of a random walker in a random scenery
Noam Berger, Yuval Peres
Suppose that the vertices of the Euclidean lattice Z^d are endowed with a random scenery, obtained by tossing a fair coin at each vertex. A random walker, starting from the origin,…
Minkowski dimension of Brownian motion with drift
Philippe H. A. Charmoy, Yuval Peres, Perla Sousi
We study fractal properties of the image and the graph of Brownian motion in with an arbitrary c{à}dl{à}g drift . We prove that the Minkowski (box) dimension of both the…
Hunter, Cauchy Rabbit, and Optimal Kakeya Sets
Yakov Babichenko, Yuval Peres, Ron Peretz +2
A planar set that contains a unit segment in every direction is called a Kakeya set. We relate these sets to a game of pursuit on a cycle . A hunter and a rabbit move on the…
Mixing time of the Card-Cyclic-to-Random shuffle
Ben Morris, Weiyang Ning, Yuval Peres
The Card-Cyclic-to-Random shuffle on cards is defined as follows: at time remove the card with label mod and randomly reinsert it back into the deck. Pinsky introdu…