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To fixate or not to fixate in two-type annihilating branching random walks

To fixate or not to fixate in two-type annihilating branching random walks

We study a model of competition between two types evolving as branching random walks on Zd. 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 Zd contain one …