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Probabilidade e Combinatória

The two-type Richardson model in the half-plane
Daniel Ahlberg

Stockholm University
Quarta-feira, 12 de fevereiro de 2020, 15:30
Sala 345

The two-type Richardson model describes the growth of two competing infection types on the two or higher dimensional integer lattice. For types that spread at the same rate, it is known that there is a positive probability for infinite coexistence, while for types with different rates, it is conjectured that infinite coexistence is not possible. In this paper we study the two-type Richardson model in the upper half-plane, and prove that coexistence of two types starting on the horizontal axis has positive probability if and only if the types evolve at the same rate.