An aspect of particles' spatial competition
Probability
2015-01-20 v2
Abstract
The branching random walk is shown to be monotone decreasing in ascending direction of integer lattices as a corollary of an observation in regard to the lineage of particles from antisymmetric initial states, and a related property of percolation paths on the usual oriented lattices is also given.
Cite
@article{arxiv.1303.4093,
title = {An aspect of particles' spatial competition},
author = {Achillefs Tzioufas},
journal= {arXiv preprint arXiv:1303.4093},
year = {2015}
}
Comments
Withdrawn due to overlap of the main result with existing literature; cf. also with [Theorem 1; Spatial monotonicity in spatial stochastic processes (forthcoming work of the author)]