AN ASPECT OF PARTICLES SPATIAL COMPETITION
Authors: Achillefs Tzioufas
Keywords: Stochastic domination; symmetry; monotonicity; spatial branching processes; oriented percolation
Abstract
The branching random walk on integer lattices is shown to be monotone decreasing in ascending direction (MDAD) 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.
Timeline
Received
May 15, 2016
Revised
May 20, 2016
5 days later
Accepted
May 25, 2016
5 days later
Published
Apr 17, 2025
3249 days later
Article Type: Original research article
First Page & Last Page: 5 - 7
Collection Year: 2016
DOI: http://dx.doi.org/10.21065/2520596X.1.5