Congzao Dong

activity

20162025

most citedWeak convergence of random processes with immigration at random times

6 citations · 6 across the 12 of their papers we have counts for

collaborators

12 papers

math.PR2025

Limit theorems for decoupled renewal processes

Congzao Dong, Iryna Feshchenko, Alexander Iksanov

The decoupled standard random walk is a sequence of independent random variables $(S^_{n})_{n \geq 1}$ , in which $S^_{n}$ has the same distribution as the position at time $n$ o…

math.PR2025

Limit theorems for random Dirichlet series with summation over primes, with an application to Rademacher random multiplicative functions

Congzao Dong, Alexander Iksanov

It is shown that two conjectures put forward in the recent article Iksanov and Kostohryz (2025) are true. Namely, we prove a functional central limit theorem (FCLT) and a law of th…

math.PR2023

On multidimensional locally perturbed standard random walks

Congzao Dong, Alexander Iksanov, Andrey Pilipenko

Let $d$ be a positive integer and $A$ a set in $Z^{d}$ , which contains finitely many points with integer coordinates. We consider $X$ a standard random walk perturbed on the…

math.PR2023

Some functionals for random walks and critical branching processes in extreme random environment

Congzao Dong, Elena Dyakonova, Vladimir Vatutin

Let ${S_{n}, n \geq 0}$ be a random walk whose increment distribution belongs without centering to the domain of attraction of an -stable law, i.e., there are som…

math.PR2023

Set-valued recursions arising from vantage-point trees

Congzao Dong, Alexander Marynych, Ilya Molchanov

We study vantage-point trees constructed using an independent sample from the uniform distribution on a fixed convex body $K$ in $(R^{d}, ∥ \cdot ∥)$ , where $∥ \cdot ∥$ is an…

math.PR2023

Critical branching processes in a sparse random environment

Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1

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 cr…

math.PR2023

Random walks conditioned to stay non-negative and branching processes in non-favorable random environment

Congzao Dong, Elena Dyakonova, Vladimir Vatutin

Let ${S_{n}, n \geq 0}$ be a random walk whose increments belong without centering to the domain of attraction of an $α$ -stable law ${Y_{t}, t \geq 0}$ , i.e. $S_{nt}/a_n\Rightarrow Y_…

math.PR2023

On a discrete approximation of a skew stable Lévy process

Congzao Dong, Oleksandr Iksanov, Andrey Pilipenko

Iksanov and Pilipenko (2023) defined a skew stable Lévy process as a scaling limit of a sequence of perturbed at $0$ symmetric stable Lévy processes (continuous-time processes). He…

math.PR2022

Limit theorems for random Dirichlet series

Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1

We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series $D (α; z) = \sum_{n \geq 2} (lo g n)^{α} (η_{n} + i θ_{n}) / n^{z}$ , properly scaled and nor…

math.PR2019

Critical branching processes in random environment and Cauchy domain of attraction

Congzao Dong, Charline Smadi, Vladimir A. Vatutin

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 wit…

math.PR2019★ 6 cited

Weak convergence of random processes with immigration at random times

Congzao Dong, Alexander Iksanov

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.…

math.PR2016

Superprocesses over a stochastic flow with spatially dependent branching

Congzao Dong

We show the existence of superprocesses in a random medium with location dependent branching. Technically, we make use of a duality relation to establish the uniqueness of the mart…