Extremal particles in branching processess
Rafa{\l} Meller
TL;DR
This paper investigates the asymptotic behavior of the furthest particles in two related spatial branching models with unbounded branching intensity, providing insights into their extremal properties.
Contribution
It introduces analysis of extremal particles in spatial branching processes with unbounded branching intensity, a novel focus in the field.
Findings
Characterization of the asymptotic position of extremal particles
Identification of growth rates of the extremal particles
Insights into the influence of unbounded branching on extremal behavior
Abstract
The purpose of this study is to investigate two related spatial branching models with the unbounded branching intensity. The objective is to describe the asymptotic behaviour of the extremal particle.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStochastic processes and statistical mechanics · Stochastic processes and financial applications · Theoretical and Computational Physics