B. Rashytov

activity

20192022

collaborators

4 papers

math.PR2022

Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree

Alexander Iksanov, Alexander Marynych, Bohdan Rashytov

Consider a general branching process, a.k.a. Crump-Mode-Jagers process, generated by a perturbed random walk $η_{1}$ , $ξ_{1} + η_{2}$ , $ξ_{1} + ξ_{2} + η_{3}, \dots$ . Here, $(ξ_{1}, η_{1})$ , $(ξ_2, η_2),…

math.PR2021

Renewal theory for iterated perturbed random walks on a general branching process tree: early generations

Alexander Iksanov, Bohdan Rashytov, Igor Samoilenko

Let $(ξ_{k}, η_{k})_{k \in N}$ be independent identically distributed random vectors with arbitrarily dependent positive components. We call a (globally) perturbed random walk a…

math.PR2020

Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations

Vladyslav Bohun, Alexander Iksanov, Alexander Marynych +1

Let $(ξ_{k}, η_{k})_{k \in N}$ be independent identically distributed random vectors with arbitrarily dependent positive components. We call a (globally) perturbed random walk a…

math.PR2019

A functional limit theorem for general shot noise processes

Alexander Iksanov, Bohdan Rashytov

By a general shot noise process we mean a shot noise process in which the counting process of shots is arbitrary locally finite. Assuming that the counting process of shots satisfi…