112 citations · 823 across the 70 of their papers we have counts for
9 papers · 1 filter
Averaging Principle and Shape Theorem for a Growth Model with Memory
Amir Dembo, Pablo Groisman, Ruojun Huang +1
We present a general approach to study a class of random growth models in -dimensional Euclidean space. These models are designed to capture basic growth features which are expe…
The invariance principle and the large deviation for the biased random walk on
Yuelin Liu, Vladas Sidoravicius, Longmin Wang +1
In this paper, we establish the invariance principle and the large deviation for the biased random walk with on .
Three-speed ballistic annihilation: phase transition and universality
John Haslegrave, Vladas Sidoravicius, Laurent Tournier
We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980's physics literature. In this particle system, initial locations are given by a rene…
Percolation of finite clusters and shielded paths
Bounghun Bock, Michael Damron, C. M. Newman +1
In independent bond percolation on with parameter , if one removes the vertices of the infinite cluster (and incident edges), for which values of does the rem…
The ballistic annihilation threshold is 1/4
Vladas Sidoravicius, Laurent Tournier
We consider a system of annihilating particles where particles start from the points of a Poisson process on the line, move at constant i.i.d. speeds symmetrically distributed in {…
Uniform spanning forests associated with biased random walks on Euclidean lattices
Zhan Shi, Vladas Sidoravicius, He Song +2
The uniform spanning forest measure () on a locally finite, infinite connected graph with conductance is defined as a weak limit of uniform spanning tree meas…