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math.PR2018
Coexistence and duality in competing species models
Yu-Ting Chen, Matthias Hammer
We discuss some stochastic spatial generalizations of the Lotka--Volterra model for competing species. The generalizations take the forms of spin systems on general discrete sets a…
math.PR2018
Entrance laws for annihilating Brownian motions and the continuous-space voter model
Matthias Hammer, Marcel Ortgiese, Florian Völlering
Consider a system of particles moving independently as Brownian motions until two of them meet, when the colliding pair annihilates instantly. The construction of such a system of…