Limit of 1-Dimensional Mixed-Mechanism Interacting Particle System Model (1812.04938v1)

Published 8 Dec 2018 in math.PR

Abstract: Elaborating on the model from voter process with mixed-mechanism under suitable scaling, I have two new mechanisms which are random switch and unbiased local Homogenization and subtly biased advantage but with state dependent coefficient involved. The most crucial one, the existence of high-frequency duplication generating the diffusion term and noise term in each case identifies the limit equation as SPDE driven by space time white noise.

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Authors (1)

Tong Zhao

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