5 papers
The critical 2D delta-Bose gas as mixed-order asymptotics of planar Brownian motion
Yu-Ting Chen
We consider the 2D delta-Bose gas by a smooth mollification of the delta potential, where the coupling constant is in the critical window. The main result proves that for two parti…
The replicator equation in stochastic spatial evolutionary games
Yu-Ting Chen
We study the multi-strategy stochastic evolutionary game with death-birth updating in expanding spatial populations of size . The model is a voter model perturbation.…
Convergence of the rescaled Whittaker stochastic differential equations and independent sums
Yu-Ting Chen
We study some SDEs derived from the limit of a 2D surface growth model called the -Whittaker process. The fluctuations are proven to exhibit Gaussian characteristics th…
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…
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…