Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Berger, Quentin"'
Autor:
Berger, Quentin, Bouchot, Nicolas
In this article, we study a discrete version of a Dirichlet problem in an open bounded set $D\subset \mathbb{R}^d$, in dimension $d\geq 2$. More precisely, we consider the simple random walk on $\mathbb{Z}^d$, $d\geq 2$, killed upon exiting the large
Externí odkaz:
http://arxiv.org/abs/2408.15858
In this article, we consider joint returns to zero of $n$ Bessel processes ($n\geq 2$): our main goal is to estimate the probability that they avoid having joint returns to zero for a long time. More precisely, considering $n$ independent Bessel proc
Externí odkaz:
http://arxiv.org/abs/2406.19344
Autor:
Ventura, Irene Ayuso, Berger, Quentin
When considering statistical mechanics models on trees, such that the Ising model, percolation, or more generally the random cluster model, some concave tree recursions naturally emerge. Some of these recursions can be compared with non-linear conduc
Externí odkaz:
http://arxiv.org/abs/2404.11564
Autor:
Ventura, Irene Ayuso, Berger, Quentin
We consider the Ising model on a supercritical Galton-Watson tree $\mathbf{T}_n$ of depth $n$ with a sparse random external field, given by a collection of i.i.d. Bernouilli random variables with vanishing parameter $p_n$. This may me viewed as a toy
Externí odkaz:
http://arxiv.org/abs/2310.09169
Autor:
Berger, Quentin, Massoulié, Brune
We study the wetting model, which considers a random walk constrained to remain above a hard wall, but with additional pinning potential for each contact with the wall. This model is known to exhibit a wetting phase transition, from a localized phase
Externí odkaz:
http://arxiv.org/abs/2309.02927
In this article, we consider additive functionals $\zeta_t = \int_0^t f(X_s)\mathrm{d} s$ of a c\`adl\`ag Markov process $(X_t)_{t\geq 0}$ on $\mathbb{R}$. Under some general conditions on the process $(X_t)_{t\geq 0}$ and on the function $f$, we sho
Externí odkaz:
http://arxiv.org/abs/2304.09034
Autor:
Berger, Quentin, Béthencourt, Loïc
We revisit here a famous result by Sparre Andersen on persistence probabilities $\mathbf{P}(S_k>0 \;\forall\, 0\leq k\leq n)$ for symmetric random walks $(S_n)_{n\geq 0}$. We give a short proof of this result when considering sums of random variables
Externí odkaz:
http://arxiv.org/abs/2304.09031
This article studies large and local large deviations for sums of i.i.d. real-valued random variables in the domain of attraction of an $\alpha$-stable law, $\alpha\in (0,2]$, with emphasis on the case $\alpha=2$. There are two different scenarios: e
Externí odkaz:
http://arxiv.org/abs/2303.12505
Autor:
Berger, Quentin, Legrand, Alexandre
The Poland--Scheraga model, introduced in the 1970's, is a reference model to describe the denaturation transition of DNA. More recently, it has been generalized in order to allow for asymmetry in the strands lengths and in the formation of loops: th
Externí odkaz:
http://arxiv.org/abs/2209.13480
The stochastic heat equation with multiplicative L\'evy noise: Existence, moments, and intermittency
We study the stochastic heat equation (SHE) $\partial_t u = \frac12 \Delta u + \beta u \xi$ driven by a multiplicative L\'evy noise $\xi$ with positive jumps and amplitude $\beta>0$, in arbitrary dimension $d\geq 1$. We prove the existence of solutio
Externí odkaz:
http://arxiv.org/abs/2111.07988