Zobrazeno 1 - 10
of 341
pro vyhledávání: '"KEVEI, P."'
Autor:
Kevei, Peter, Kubatovics, Kata
We investigate branching processes in nearly degenerate varying environment, where the offspring distribution converges to the degenerate distribution at 1. Such processes die out almost surely, therefore, we condition on non-extinction or add inhomo
Externí odkaz:
http://arxiv.org/abs/2412.03325
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 Ornstein--Uhlenbeck type processes (supOU). SupOU processes are stationary infinitely divisible processes defined as integrals with respect to a random measure. They allow marginal dis
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 asymptotics are governed by three effects: the behavior of the L\'evy measure both at infinity
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