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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
Rescaled Whittaker driven stochastic differential equations converge to the additive stochastic heat equation
Yu-Ting Chen
We study SDEs arising from limiting fluctuations in a -dimensional surface growth model called the Whittaker driven particle system, which is believed to be in the anisotrop…