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Chase-escape with death on trees

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 نشر من قبل Sarai Hernandez-Torres
 تاريخ النشر 2019
  مجال البحث
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Chase-escape is a competitive growth process in which red particles spread to adjacent uncolored sites, while blue particles overtake adjacent red particles. We introduce the variant in which red particles die and describe the phase diagram for the resulting process on infinite d-ary trees. A novel connection to weighted Catalan numbers makes it possible to characterize the critical behavior.



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