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

1 citations · 2 across the 3 of their papers we have counts for

collaborators

8 papers

math.OC20211 cited

Global Solutions of Stochastic Stackelberg Differential Games under Convex Control Constraint

Liangquan Zhang, Wei Zhang

This paper is concerned with a Stackelberg stochastic differential game, where the systems are driven by stochastic differential equation (SDE for short), in which the control ente…

math.NA2020

Non-reversible sampling schemes on submanifolds

Upanshu Sharma, Wei Zhang

Calculating averages with respect to probability measures on submanifolds is often necessary in various application areas such as molecular dynamics, computational statistical mech…

physics.flu-dyn2020

A theoretical framework for Koopman analyses of fluid flows, part 2: from linear to nonlinear dynamics

Wei Zhang, Mingjun Wei

A theoretic framework for dynamics is obtained by transferring dynamics from state space to its dual space. As a result, the linear structure where dynamics are analytically decomp…

physics.flu-dyn20201 cited

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

Wei Zhang, Mingjun Wei

Local Koopman spectral problem is studied to resolve all dynamics for a nonlinear system. The proposed spectral problem is compatible with the linear spectral theory for various li…

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…