3 papers
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 , in which has the same distribution as the position at time 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 in , where is an…