Fluctuations of the rightmost particle in the catalytic branching Brownian motion
Sergey Bocharov
TL;DR
This paper investigates the magnitude of fluctuations of the rightmost particle in a catalytic branching Brownian motion, focusing on the effects of a catalytic point at the origin on extreme particle behavior.
Contribution
It provides a detailed analysis of the fluctuation magnitude of the extremal particle in catalytic branching Brownian motion, a model with a catalytic point at the origin.
Findings
Quantifies the fluctuations of the rightmost particle.
Establishes the asymptotic behavior of extremal particles.
Highlights the impact of the catalytic point on particle fluctuations.
Abstract
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.
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