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math.PR2016
Large Deviations for Brownian Particle Systems with Killing
Amarjit Budhiraja, Wai-Tong Louis Fan, Ruoyu Wu
Particle approximations for certain nonlinear and nonlocal reaction-diffusion equations are studied using a system of Brownian motions with killing. The system is described by a co…
math.PR2016
Uniform in Time Interacting Particle Approximations for Nonlinear Equations of Patlak-Keller-Segel type
Amarjit Budhiraja, Wai-Tong Louis Fan
We study a system of interacting diffusions that models chemotaxis of biological cells or microorganisms (referred to as particles) in a chemical field that is dynamically modified…