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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

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Showing 2023 · math.PRShow all

9 papers · 2 filters

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…

math.PR2023

Conditions for existence and uniqueness of the inverse first-passage time problem applicable for Lévy processes and diffusions

Alexander Klump, Mladen Savov

For a stochastic process we establish conditions under which the inverse first-passage time problem has a solution for any random variable . For Markov proce…

math.PR2023★ 4 cited

Characterization of exchangeable measure-valued Pólya urn sequences

Hristo Sariev, Mladen Savov

Measure-valued Pólya urn sequences (MVPS) are a generalization of the observation processes generated by -color Pólya urn models, where the space of colors is a com…