Martin Minchev

collaborators

8 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…

cs.DS2026

BFS versus DFS for fixed-level targets in ordered trees

Stoyan Dimitrov, Martin Minchev, Yan Zhuang

We find the average time complexity of the breadth-first search (BFS) and the depth-first search (DFS) algorithms, when one searches for a target node selected uniformly at random…

math.PR2026

On a moment determinacy conjecture of Bertoin and Yor

Martin Minchev

Let $I^¾$ be an unkilled real-valued LÃ©vy process which drifts to $+ \infty$ and has positive exponential moments of all orders, and define $I_{I^} ¾ = \int_{0}^{\infty} e^{- I^¾_{t}}, d t$ , and it…

math.PR2026

Recent developments in exponential functionals of LÃ©vy processes

Martin Minchev, Mladen Savov

This survey aims to review two decades of progress on exponential functionals of (possibly killed) real-valued LÃ©vy processes. Since the publication of the seminal survey by Berto…

math.PR2026

Preferential relocations enhance survival for Markov chains with killing

Jean Bertoin, Martin Minchev

We investigate the impact on survival of a modification of the evolution of a sub-stochastic Markov chain that involves random relocations at previously visited states. Our central…

math.PR2025

Multi-type branching processes with immigration generated by point processes

Martin Minchev, Maroussia Slavtchova-Bojkova

Following the pivotal work of Sevastyanov, who considered branching processes with homogeneous Poisson immigration, much has been done to understand the behaviour of such processes…