An aspect of particles' spatial competition

2013/03/17 by Achillefs Tzioufas, Tzioufas, Achillefs
Mathematics · Physics and Astronomy · #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.1303.4093

Withdrawn due to overlap of the main result with existing literature; cf.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)]

openalex publication_date 2013/03/17 · arxiv created 2015/01/17 · arxiv updated 2015/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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