# The scaling limit of the interface of the continuous-space symbiotic branching model

@article{Blath2013TheSL,
title={The scaling limit of the interface of the continuous-space symbiotic branching model},
author={Jochen Blath and Matthias Hammer and Marcel Ortgiese},
journal={arXiv: Probability},
year={2013}
}
• Published 10 December 2013
• Mathematics
• arXiv: Probability
The continuous-space symbiotic branching model describes the evolution of two interacting populations that can reproduce locally only in the simultaneous presence of each other. If started with complementary Heaviside initial conditions, the interface where both populations coexist remains compact. Together with a diffusive scaling property, this suggests the presence of an interesting scaling limit. Indeed, in the present paper, we show weak convergence of the diffusively rescaled populations…
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