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20182021
most citedA theoretical framework for Koopman analyses of fluid flows, part 1: local Koopman spectrum and properties

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math.PR2020

Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes

Wei Zhang

This paper studies time-inhomogeneous nonequilibrium diffusion processes, including both Brownian dynamics and Langevin dynamics. We derive upper bounds of the relative entropy pro…

math.PR2018

Moderate deviation and central limit theorem for SDDEs with plynomial growth

Yongqiang Suo, Jin Tao, Wei Zhang

In this paper, employing the weak convergence method, based on a variational representation for expected values of positive functionals of a Brownian motion, we investigate moderat…

math.PR2018

Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates

Tony Lelièvre, Wei Zhang

Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Lelièvre, Nonlinearity, 2010] to approximate the essential dynamics of high-dimensional diffusion…