Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Bonnet, Gilles"'
Autor:
Bonnet, Gilles, Gusakova, Anna
In this article we obtain concentration inequalities for Poisson $U$-statistics $F_m(f,\eta)$ of order $m\ge 1$ with kernels $f$ under general assumptions on $f$ and the intensity measure $\gamma \Lambda$ of underlying Poisson point process $\eta$. T
Externí odkaz:
http://arxiv.org/abs/2404.16756
The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would therefore be benef
Externí odkaz:
http://arxiv.org/abs/2308.01806
We study topological and geometric functionals of $l_\infty$-random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays exponentially in the dimension. More precisely, we establish moment a
Externí odkaz:
http://arxiv.org/abs/2212.12268
Autor:
Pedraza, Fernando, Duval, Antoine, Šulák, Ivo, Nowak, Benedikt, Kepa, Thomas, Boissonnet, Germain, Bonnet, Gilles
Publikováno v:
In Corrosion Science 15 August 2024 237
The combinatorial diameter $\operatorname{diam}(P)$ of a polytope $P$ is the maximum shortest path distance between any pair of vertices. In this paper, we provide upper and lower bounds on the combinatorial diameter of a random "spherical" polytope,
Externí odkaz:
http://arxiv.org/abs/2112.13027
Publikováno v:
Advances in Mathematics, Volume 386, 6 August 2021
For a convex body $K\subset\mathbb{R}^d$ the mean distance $\Delta(K)=\mathbb{E}|X_1-X_2|$ is the expected Euclidean distance of two independent and uniformly distributed random points $X_1,X_2\in K$. Optimal lower and upper bounds for ratio between
Externí odkaz:
http://arxiv.org/abs/2010.03351
This paper deals with the intersection point process of a stationary and isotropic Poisson hyperplane process in $\mathbb{R}^d$ of intensity $t>0$, where only hyperplanes that intersect a centred ball of radius $R>0$ are considered. Taking $R=t^{-\fr
Externí odkaz:
http://arxiv.org/abs/2007.06398
The beta polytope $P_{n,d}^\beta$ is the convex hull of $n$ i.i.d. random points distributed in the unit ball of $\mathbb{R}^d$ according to a density proportional to $(1-\lVert{x}\rVert^2)^{\beta}$ if $\beta>-1$ (in particular, $\beta=0$ corresponds
Externí odkaz:
http://arxiv.org/abs/1911.12696
Publikováno v:
In Corrosion Science November 2023 224
Publikováno v:
In Stochastic Processes and their Applications September 2023 163:203-236