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An aspect of particles' spatial competition
Achillefs Tzioufas · 2013-03-18 · via math.PR updates on arXiv.org

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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