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519 papers · 1 filter
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David García-Zelada, Yuan Yuan Xu
Girko matrices have independent and identically distributed entries of mean zero and unit variance. In this note, we consider the random matrix model formed by the ratio of two ind…
Relation between Wick powers and excursion clusters of the 2D GFF
Titus Lupu
We study the decomposition of the Wick powers of the continuum GFF in dimension via the first passage sets (FPS) and the excursion clusters (sign components) of the GFF. These…
The height of the infection tree
Emmanuel Kammerer, Igor Kortchemski, Delphin Sénizergues
We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is…
Sample-Path Large Deviations for Functionals of Poisson Cluster Processes
Fabien Baeriswyl, Olivier Wintenberger
We establish sample-path large deviation principles for the centered cumulative functional of marked Poisson cluster processes in the Skorokhod space equipped with the M1 topology,…
Stochastic domination and lifts of random variables in percolation theory
Sébastien Martineau, Rémy Poudevigne, Paul Rax
Consider some matrix waiting for its coefficients to be written. For each column, sample independently a Bernoulli random variable of some parameter . Seeing all this and possib…
A random polymer approach to the weak disorder phase of the vertex reinforced jump process
Quentin Berger, Alexandre Legrand, Rémy Poudevigne +1
In this paper, we study the transient phase of the Vertex Reinforced Jump Process (VRJP) in dimension . In Sabot, Zeng (2019), the authors introduce a positive martingale…