Properties of the interface of the symbiotic branching model
نویسندگان
چکیده
The symbiotic branching model describes the evolution of two interacting populations and if started with complementary Heaviside functions, the interface where both populations are present remains compact. In this paper, we show tightness of the diffusively rescaled solutions and thus provide a first step towards a scaling limit for the interface. The crucial estimate involves a mixed fourth moment bound which we analyse using a particle system duality. As a corollary, we obtain an estimate on the moments of the width of an approximate interface. 2010 Mathematics Subject Classification: Primary 60K35, Secondary 60J80.
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