International audienceIn this note, we improve some results of Granville \& Soundararajan on the distribution of values of the truncated random Euler product $$L(1, X; y) := \prod_{p\le y} \big(1-X(p)/p\big)^{-1},$$ where the $X(p)$ are independent random variables, taking the values $\pm 1$ with equal probability $p/2(p+1)$ and 0 with probability $1/(p+1)$
Let $(S_n)_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and le...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractLet {X,Xk,i;i≥1,k≥1} be a double array of nondegenerate i.i.d. random variables and let {pn;...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are c...
We establish a new upper bound for the Kullback-Leibler divergence of two discrete probability distr...
We develop an inequality for the expectation of a product of n random variables generalizing the rec...
Asymptotic formulas for large-deviation probabilities of a ladder height in a random walk generated...
Talagrand observed that finiteness of $\mathbb{E}\, e^{\frac{1}{2}|\nabla f(X)|^{2}}$ implies finite...
AbstractLet fn(x) be the non-parametric kernel density estimator of a density function f(x) based on...
AbstractLet Bpn denote the unit ball in ℓpn with p⩾1. We prove that Voln−1(H∩Bpn)⩾(Voln(Bpn))(n−1)/n...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stac...
International audienceIt is well known that the sequence $\varphi(n)/n$, n=1,2,... has a singular as...
AbstractLet {X,Xn;n⩾0} be a sequence of independent and identically distributed random variables, ta...
Let $(S_n)_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and le...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractLet {X,Xk,i;i≥1,k≥1} be a double array of nondegenerate i.i.d. random variables and let {pn;...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are c...
We establish a new upper bound for the Kullback-Leibler divergence of two discrete probability distr...
We develop an inequality for the expectation of a product of n random variables generalizing the rec...
Asymptotic formulas for large-deviation probabilities of a ladder height in a random walk generated...
Talagrand observed that finiteness of $\mathbb{E}\, e^{\frac{1}{2}|\nabla f(X)|^{2}}$ implies finite...
AbstractLet fn(x) be the non-parametric kernel density estimator of a density function f(x) based on...
AbstractLet Bpn denote the unit ball in ℓpn with p⩾1. We prove that Voln−1(H∩Bpn)⩾(Voln(Bpn))(n−1)/n...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stac...
International audienceIt is well known that the sequence $\varphi(n)/n$, n=1,2,... has a singular as...
AbstractLet {X,Xn;n⩾0} be a sequence of independent and identically distributed random variables, ta...
Let $(S_n)_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and le...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractLet {X,Xk,i;i≥1,k≥1} be a double array of nondegenerate i.i.d. random variables and let {pn;...
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