activity
20092025
most citedSome applications of duality for Lévy processes in a half-line

39 citations · 197 across the 34 of their papers we have counts for

collaborators

39 papers

math.PR2025

Recent developments in exponential functionals of Lévy processes

Martin Minchev, Mladen Savov

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

math.PR2025

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

Stefan Gerdjikov, Martin Minchev, Mladen Savov

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

math.PR2023★ 1 cited

The uniqueness of the Wiener-Hopf factorisation of Lévy processes and random walks

Leif Döring, Mladen Savov, Lukas Trottner +1

We prove that the spatial Wiener-Hopf factorisation of a Lévy process or random walk without killing is unique.

math.PR2023

Bivariate Bernstein-gamma functions, potential measures, and asymptotics of exponential functionals of Lévy processes

Martin Minchev, Mladen Savov

Let be a Lévy process and , be the exponential functional of Lévy processes on deterministic horizon. Given that $\lim_{t\to…

math.PR2023

Sufficientness postulates for measure-valued Pólya urn sequences

Hristo Sariev, Mladen Savov

In a recent paper, the authors studied the distribution properties of a class of exchangeable processes, called measure-valued Pólya sequences (MVPS), which arise as the observatio…

math.PR2023

Properties and conjectures regarding discrete renewal sequences

Nikolai Nikolov, Mladen Savov

In this work we review and derive some elementary properties of the discrete renewal sequences based on a positive, finite and integer-valued random variable. Our results consider…