Continuum Cascade Model: Branching Random Walk for Traveling Wave
Probability
2018-08-03 v6 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The food web is a directed graph in which nodes label species and directed links represent the predation between species. The cascade model generates random food webs. The continuum cascade model is a Poisson approximation of the cascade model. The recursion to obtain the probability distribution of the longest chain length generated by the continuum cascade model has the solution with traveling wave. We consider a branching random walk to study the asymptotic probability on the position of wave front.
Cite
@article{arxiv.1507.04379,
title = {Continuum Cascade Model: Branching Random Walk for Traveling Wave},
author = {Yoshiaki Itoh},
journal= {arXiv preprint arXiv:1507.04379},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1206.3711; and text overlap with arXiv:1101.1810 by other authors