Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Chenavier, Nicolas"'
We consider a random growth model based on the IDLA protocol with sourcesin a hyperplane of $Z^d$ . We provide a stabilization result and a shape theoremgeneralizing [7] in any dimension by introducing new techniques leading to a roughglobal upper bo
Externí odkaz:
http://arxiv.org/abs/2403.12590
Autor:
Chenavier, Nicolas, Otto, Moritz
We establish Poisson and compound Poisson approximations for stabilizing statistics of $\beta$-mixing point processes and give explicit rates of convergence. Our findings are based on a general estimate of the total variation distance of a stationary
Externí odkaz:
http://arxiv.org/abs/2310.15009
Given a simple transient random walk $(S_n)_{n\geq 0}$ in $\mathbf{Z}$ and a stationary sequence of real random variables $(\xi(s))_{s\in \mathbf{Z}}$, we investigate the extremes of the sequence $(\xi(S_n))_{n\geq 0}$. Under suitable conditions, we
Externí odkaz:
http://arxiv.org/abs/2212.09395
Autor:
Chenavier, Nicolas, Darwiche, Ahmad
Let $(S_n)_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and let $(\xi(s))_{s \in \mathbb{Z}}$ be a stationary sequence of random variables. In a previous work, under conditions of type $D(u_n)$ and $D'(u_n)$, we
Externí odkaz:
http://arxiv.org/abs/2210.04854
Likelihood inference for max-stable random fields is in general impossible because their finite-dimen\-sional probability density functions are unknown or cannot be computed efficiently. The weighted composite likelihood approach that utilizes lower
Externí odkaz:
http://arxiv.org/abs/2209.09296
Let $X_1,\ldots,X_n$ be a sequence of independent random points in $\mathbb{R}^d$ with common Lebesgue density $f$. Under some conditions on $f$, we obtain a Poisson limit theorem, as $n \to \infty$, for the number of large probability $k$th-nearest
Externí odkaz:
http://arxiv.org/abs/2105.00038
Autor:
Chenavier, Nicolas, Hirsch, Christian
Persistent homology captures the appearances and disappearances of topological features such as loops and holes when growing disks centered at a Poisson point process. We study extreme values for the life times of features dying in bounded components
Externí odkaz:
http://arxiv.org/abs/2009.13202
We investigate three types of Internal Diffusion Limited Aggregation (IDLA) models. These models are based on simple random walks on $\mathbf{Z}^2$ with infinitely many sources that are the points of the vertical axis $I(\infty)=\{0\}\times\mathbf{Z}
Externí odkaz:
http://arxiv.org/abs/2009.12090
Autor:
Chenavier, Nicolas, Darwiche, Ahmad
Let $\{\xi(k), k \in \mathbb{Z} \}$ be a stationary sequence of random variables with conditions of type $D(u_n)$ and $D'(u_n)$. Let $\{S_n, n \in \mathbb{N} \}$ be a transient random walk in the domain of attraction of a stable law. We provide a lim
Externí odkaz:
http://arxiv.org/abs/1910.04651
We introduce tests for the goodness of fit of point patterns via methods from topological data analysis. More precisely, the persistent Betti numbers give rise to a bivariate functional summary statistic for observed point patterns that is asymptotic
Externí odkaz:
http://arxiv.org/abs/1906.07608