AN ASPECT OF PARTICLES SPATIAL COMPETITION

2016-05-15 2016-05-20 2016-05-25 4/17/2025 11:38:20 AM Advanced Calculation and Analysis 1 2016 Original research article 5 7 2016 1:1.2016 http://dx.doi.org/10.21065/2520596X.1.5 English Achillefs Tzioufas Stochastic domination; symmetry; monotonicity; spatial branching processes; oriented percolation 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.