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Main Title: Properties of the interface of the symbiotic branching model
Author(s): Blath, Jochen
Ortgiese, Marcel
Type: Research Paper
Abstract: 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.
Subject(s): symbiotic branching model
mutually catalytic branching
stepping stone model
propagation of interface
moment duality
Issue Date: 12-Mar-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J80 Branching processes
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 05
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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