Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Kevei, Péter"'
Autor:
Kevei, Péter, Viharos, László
In R\'enyi's representation for exponential order statistics, we change the iid exponential sequence to any iid sequence, and call the resulting order statistic \emph{generalized R\'enyi statistic}. We prove that randomly reordering the variables in
Externí odkaz:
http://arxiv.org/abs/2404.03548
Autor:
Grahovac, Danijel, Kevei, Peter
In this paper we consider sample path growth of superpositions of positive Ornstein--Uhlenbeck type processes (supOU). SupOU are stationary infinitely divisible processes defined as integrals with respect to a random measure. They allow marginal dist
Externí odkaz:
http://arxiv.org/abs/2402.08584
Autor:
Grahovac, Danijel, Kevei, Peter
Superpositions of Ornstein-Uhlenbeck processes allow a flexible dependence structure, including long range dependence for OU-type processes. Their complex asymptotic is governed by three effects: the behavior of the L\'evy measure both at infinity an
Externí odkaz:
http://arxiv.org/abs/2402.01196
Autor:
Kevei, Peter
We determine the tail asymptotics of the stationary distribution of a branching process with immigration in a random environment, when the immigration distribution dominates the offspring distribution. The assumptions are the same as in the Grincevi\
Externí odkaz:
http://arxiv.org/abs/2401.03842
Autor:
Kevei, Péter, Szalai, Máté
Chlamydiae are bacteria with an interesting unusual developmental cycle. A single bacterium in its infectious form (elementary body, EB) enters the host cell, where it converts into its dividing form (reticulate body, RB), and divides by binary fissi
Externí odkaz:
http://arxiv.org/abs/2306.02893
Autor:
Kevei, Péter, Kubatovics, Kata
We investigate Galton--Watson processes in varying environment, for which $\bar f_n \uparrow 1$ and $\sum_{n=1}^\infty (1-\bar f_n) = \infty$, where $\bar f_n$ stands for the offspring mean in generation $n$. Since the process dies out almost surely,
Externí odkaz:
http://arxiv.org/abs/2210.14694
Autor:
Chong, Carsten, Kevei, Péter
We show that the spatial profile of the solution to the stochastic heat equation features multiple layers of intermittency islands if the driving noise is non-Gaussian. On the one hand, as expected, if the noise is sufficiently heavy-tailed, the larg
Externí odkaz:
http://arxiv.org/abs/2204.00715
Autor:
Chong, Carsten, Kevei, Péter
We analyze the spatial asymptotic properties of the solution to the stochastic heat equation driven by an additive L\'evy space-time white noise. For fixed time $t > 0$ and space $x \in \mathbb{R}^d$ we determine the exact tail behavior of the soluti
Externí odkaz:
http://arxiv.org/abs/2203.06057
We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the $r$-convex analogues of the classical results of R\'enyi and Sulanke (1964) about ra
Externí odkaz:
http://arxiv.org/abs/2110.12191
We provide a Galton--Watson model for the growth of a bacterial population in the presence of antibiotics. We assume that bacterial cells either die or duplicate, and the corresponding probabilities depend on the concentration of the antibiotic. Assu
Externí odkaz:
http://arxiv.org/abs/2104.11525