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20012005
most citedThe spread of a rumor or infection in a moving population

111 citations · 176 across the 6 of their papers we have counts for

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math.PR20054 cited

Polymer pinning in a random medium as influence percolation

Vincent Beffara, Vladas Sidoravicius, Herbert Spohn +1

In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard meth…

math.PR200559 cited

Pinning of polymers and interfaces by random potentials

Kenneth S. Alexander, Vladas Sidoravicius

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particula…

math.PR2004

A phase transition in a model for the spread of an infection

Harry Kesten, Vladas Sidoravicius

We show that a certain model for the spread of an infection has a phase transition in the recuperation rate. The model is as follows: There are particles or individuals of type A a…

math.PR20032 cited

A shape theorem for the spread of an infection

Harry Kesten, Vladas Sidoravicius

We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous time simple random walk on the d-dimensional lattice. Th…

math.PR2003111 cited

The spread of a rumor or infection in a moving population

Harry Kesten, Vladas Sidoravicius

We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous-time simple random walk on , with jump rat…

math.PR2003

Nonuniqueness for specifications in

Noam Berger, Christopher Hoffman, Vladas Sidoravicius

For every , we construct a regular and continuous specification (-function), which has a variation sequence that is in and which admits multiple Gibbs measures. Combi…