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- Laboratoire de Probabilités et Modèles AléatoiresFR133 papers
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7 papers · 2 filters
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…
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…
Mixing time of a matrix random walk generated by elementary transvections
Anna Ben-Hamou
We consider a Markov chain on invertible matrices with entries in which moves by picking an ordered pair of distinct rows and add the first one to the ot…