S. Bocharov

activity

20132026

most citedFluctuations of the rightmost particle in the catalytic branching Brownian motion

2 citations · 3 across the 9 of their papers we have counts for

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10 papers · 1 filter

math.PR2026

Sample genealogies within a Brownian excursion

Sergey Bocharov, Simon C. Harris

In this article, we apply Itô's excursion theory to find the joint law of minima of a Brownian excursion conditioned to go above level $1$ over the intervals defined by $k$ indepen…

math.PR2024

The longest branches in a non-Markovian phylogenetic tree

Sergey Bocharov, Simon C. Harris, Bastien Mallein

Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time $T$ to a random number $L$ of children…

math.PR2023

Long edges in Galton-Watson trees

Sergey Bocharov, Simon C. Harris

In this article, we will establish a number of results concerning the limiting behaviour of the longest edges in the genealogical tree generated by a continuous-time Galton-Watson…

math.PR2020★ 2 cited

Fluctuations of the rightmost particle in the catalytic branching Brownian motion

Sergey Bocharov

In this article we establish the magnitude of fluctuations of the extreme particle in the model of binary branching Brownian motion with a single catalytic point at the origin.

math.PR2019

Limiting distribution of particles near the frontier in the catalytic branching Brownian motion

Sergey Bocharov

We consider the model of branching Brownian motion with a single catalytic point at the origin and binary branching. We establish some fine results for the asymptotic behaviour of…

math.PR2018★ 1 cited

Branching Brownian Motion with spatially-homogeneous and point-catalytic branching

Sergey Bocharov, Li Wang

We consider a model of Branching Brownian Motion in which the usual spatially-homogeneous and catalytic branching at a single point are simultaneously present. We establish the alm…

math.PR2016

Limiting Distribution of the Rightmost Particle in Catalytic Branching Brownian Motion

Sergey Bocharov, Simon C. Harris

We study the model of binary branching Brownian motion with spatially-inhomogeneous branching rate $β δ_{0} (\cdot)$ , where $δ_{0} (\cdot)$ is the Dirac delta function and $β$ is some pos…

math.PR2015

A note on the polynomial moments of the partition function in the SK model

Sergey Bocharov

We prove a simple identity relating the $k$ th moment of the partition function $Z_{N} (\cdot)$ in the SK model to the $N$ th moment of the partition function $Z_{k} (\cdot)$ . As a corolla…

math.PR2013

Branching Brownian Motion with catalytic branching at the origin

Sergey Bocharov, Simon C. Harris

We consider a branching Brownian motion in which binary fission takes place only when particles are at the origin at a rate β> 0 on the local time scale. We obtain results regardin…

math.PR2013

Branching Random Walk in an inhomogeneous breeding potential

Sergey Bocharov, Simon C. Harris

We consider a continuous-time branching random walk in the inhomogeneous breeding potential $β ∣. ∣^{p}$ , where $β > 0$ , $p \geq 0$ . We prove that the population almost surely explodes…