2020
DOI: 10.48550/arxiv.2002.09222
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To fixate or not to fixate in two-type annihilating branching random walks

Abstract: We study a model of competition between two types evolving as branching random walks on Z d . The two types are represented by red and blue balls respectively, with the rule that balls of different colour annihilate upon contact. We consider initial configurations in which the sites of Z d contain one ball each, which are independently coloured red with probability p and blue otherwise. We address the question of fixation, referring to the sites eventually settling for a given colour, or not. Under a mild mome… Show more

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