Branching random walk with step size coming from a power law

8th STATPHYS-KOLKATA

Bhattacharya, Ayan^1 ; Hazra, Rajat Subhra^1 ; Roy, Parthanil^1

Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata

700108, India^1

关键词: Branching random walks;    Derrida;    Limiting behavior;    Point configurations;    Power-law;    Random points;    Step size;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/638/1/012006/pdf
DOI  :  10.1088/1742-6596/638/1/012006

来源: IOP

【 摘 要 】

In their seminal work, Brunet and Derrida made predictions on the random point configurations associated with branching random walks. We shall discuss the limiting behavior of such point configurations when the displacement random variables come from a power law. In particular, we establish that two prediction of remains valid in this setup and investigate various other issues mentioned in their paper.