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20022024
most citedExperimentally Witnessing the Quantumness of Correlations

97 citations

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6 papers · 1 filter

math.PR2015★ 3 cited

Quenched Voronoi percolation

Daniel Ahlberg, Simon Griffiths, Robert Morris +1

We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm fr…

math.PR2014★ 20 cited

From normal diffusion to superdiffusion of energy in the evanescent flip noise limit

Cédric Bernardin, Patricia Gonçalves, Milton Jara +2

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter . When is of order one, the energy diffuses according to the standard heat equa…

math.PR2014★ 5 cited

The Einstein relation for the KPZ equation

Patricia Gonçalves, Milton Jara

We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In partic…

math.PR2008★ 12 cited

A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains

Harry Kesten, Vladas Sidoravicius

We consider the following problem in one-dimensional diffusion-limited aggregation (DLA). At time , we have an "aggregate" consisting of [with a pos…

math.PR2008★ 3 cited

Percolation for the Vacant Set of Random Interlacements

Vladas Sidoravicius, Alain-Sol Sznitman

We investigate random interlacements on Z^d, d bigger or equal to 3. This model recently introduced in arXiv:0704.2560 corresponds to a Poisson cloud on the space of doubly infinit…

math.PR2005★ 59 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…