Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Dong, Congzao"'
Let $d$ be a positive integer and $A$ a set in $\mathbb{Z}^d$, which contains finitely many points with integer coordinates. We consider $X$ a standard random walk perturbed on the set $A$, that is, a Markov chain whose transition probabilities from
Externí odkaz:
http://arxiv.org/abs/2312.15806
We study vantage-point trees constructed using an independent sample from the uniform distribution on a fixed convex body $K$ in $(\mathbb{R}^d,\|\cdot\|)$, where $\|\cdot\|$ is an arbitrary homogeneous norm on $\mathbb{R}^d$. We prove that a sequenc
Externí odkaz:
http://arxiv.org/abs/2312.05651
Let $\left\{ S_{n},n\geq 0\right\} $ be a random walk whose increment distribution belongs without centering to the domain of attraction of an $% \alpha $-stable law, i.e., there are some scaling constants $a_{n}$ such that the sequence $S_{n}/a_{n},
Externí odkaz:
http://arxiv.org/abs/2311.10445
We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-t
Externí odkaz:
http://arxiv.org/abs/2306.06730
Let $\{S_n,n\geq 0\} $ be a random walk whose increments belong without centering to the domain of attraction of an $\alpha$-stable law $\{Y_t,t\geq 0\}$, i.e. $S_{nt}/a_n\Rightarrow Y_t,t\geq 0,$ for some scaling constants $a_n$. Assuming that $S_0=
Externí odkaz:
http://arxiv.org/abs/2303.07776
Iksanov and Pilipenko (2023) defined a skew stable L\'{e}vy process as a scaling limit of a sequence of perturbed at $0$ symmetric stable L\'{e}vy processes (continuous-time processes). Here, we provide a simpler construction of the skew stable L\'{e
Externí odkaz:
http://arxiv.org/abs/2302.07298
We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series $D(\alpha;z)=\sum_{n\geq 2}(\log n)^{\alpha}(\eta_n+{\rm i} \theta_n)/n^z$, properly scaled and normalized, where $(\eta_n,\theta_n)_{n\in\mathbb{N}}
Externí odkaz:
http://arxiv.org/abs/2211.00145
Publikováno v:
In Stochastic Processes and their Applications November 2023 165:246-274
We are interested in the survival probability of a population modeled by a critical branching process in an i.i.d. random environment. We assume that the random walk associated with the branching process is oscillating and satisfies a Spitzer conditi
Externí odkaz:
http://arxiv.org/abs/1910.13190
Autor:
Dong, Congzao, Iksanov, Alexander
Publikováno v:
J. Appl. Probab. 57 (2020) 250-265
By a random process with immigration at random times we mean a shot noise process with a random response function (response process) in which shots occur at arbitrary random times. The so defined random processes generalize random processes with immi
Externí odkaz:
http://arxiv.org/abs/1906.11605