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Stochastic Processes and Applications

- V. Sidoravicius
- Mathematics
- 2007

TLDR

Quenched invariance principles for walks on clusters of percolation or among random conductances

- V. Sidoravicius, A. Sznitman
- Mathematics
- 25 March 2004

Abstract.In this work we principally study random walk on the supercritical infinite cluster for bond percolation on ℤd. We prove a quenched functional central limit theorem for the walk when d≥4. We… Expand

The spread of a rumor or infection in a moving population

- H. Kesten, V. Sidoravicius
- Mathematics
- 30 December 2003

TLDR

Branching Random Walk with Catalysts

- H. Kesten, V. Sidoravicius
- Mathematics
- 24 March 2003

Shnerb et al. (2000), (2001) studied the following system of interacting particles on $\Bbb Z^d$: There are two kinds of particles, called $A$-particles and $B$-particles. The $A$-particles perform… Expand

Continuity of the phase transition for planar random-cluster and Potts models with 1 ≤ q ≤ 4

- H. Duminil-Copin, V. Sidoravicius, V. Tassion
- Mathematics
- 2015

This article studies the planar Potts model and its random-cluster representation. We show that the phase transition of the nearest-neighbor ferromagnetic q-state Potts model on Z 2 is continuous for… Expand

Last Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem

- Riddhipratim Basu, V. Sidoravicius, Allan Sly
- Mathematics
- 15 August 2014

We address the question of how a localized microscopic defect, especially if it is small with respect to certain dynamic parameters, affects the macroscopic behavior of a system. In particular we… Expand

Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ

- L. Rolla, V. Sidoravicius
- Mathematics
- 10 August 2009

We study the long-time behavior of conservative interacting particle systems in ℤ: the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both… Expand

Random Currents and Continuity of Ising Model’s Spontaneous Magnetization

- M. Aizenman, H. Duminil-Copin, V. Sidoravicius
- Physics
- 8 November 2013

The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin… Expand

Almost All Words Are Seen In Critical Site Percolation On The Triangular Lattice

- H. Kesten, V. Sidoravicius, Yu Zhang
- Mathematics
- 7 July 1998

We consider critical site percolation on the triangular lattice, that is, we choose $X(v) = 0$ or 1 with probability 1/2 each, independently for all vertices $v$ of the triangular lattice. We say… Expand

Percolation for the vacant set of random interlacements

- V. Sidoravicius, A. Sznitman
- Mathematics
- 25 August 2008

We investigate random interlacements on ℤd, d ≥ 3. This model, recently introduced in [8], corresponds to a Poisson cloud on the space of doubly infinite trajectories modulo time shift tending to… Expand

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