Congzao Dong

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20242026

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math.PR2026

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.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.PR2024

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…