Martin Minchev

collaborators

3 papers

math.PR2026

Asymptotics for Beta-Splitting Trees via Homogeneous Fragmentations and Meromorphic Potential Theory

Yoana R. Chorbadzhiyska, Martin Minchev, Mladen Savov

Inspired by recent work of Aldous, Janson, and Pittel on the critical beta-splitting model, we study the full beta-splitting family for beta greater than minus two through a canoni…

math.PR2026

On a moment determinacy conjecture of Bertoin and Yor

Martin Minchev

Let $ξ$ be an unkilled real-valued Lévy process which drifts to $+ \infty$ and has positive exponential moments of all orders, and define $I_{ξ} = \int_{0}^{\infty} e^{- ξ_{t}}, d t$ , and its re…

math.PR2025

On the probability of n equidistant points in high-dimensional lattices

Stefan Gerdjikov, Martin Minchev, Mladen Savov

Consider $n$ $d$ -dimensional vectors with iid entries from a lattice distribution $X$ . We show that the probability that all distances between them are equal is asymptotically \[ C…