2 citations · 3 across the 3 of their papers we have counts for
4 papers
Explicit form of the effective evolution equation for the randomly forced Schrödinger equation with quadratic nonlinearity
Huilin Zhang, Elena Tobisch
An effective equation describes a weakly nonlinear wave field evolution governed by nonlinear dispersive PDEs \emph{via} the set of its resonances in an arbitrary big but finite do…
Exponential mixing for dissipative PDEs with bounded non-degenerate noise
Sergei Kuksin, Huilin Zhang
We prove that well posed quasilinear equations of parabolic type, perturbed by bounded nondegenerate random forces, are exponentially mixing for a large class of random forces.
Differential equations driven by rough paths with jumps
Peter K. Friz, Huilin Zhang
We develop the rough path counterpart of Itô stochastic integration and - differential equations driven by general semimartingales. This significantly enlarges the classes of (Itô…
A Complex Version of G-Expectation and its Application to Conformal Martingale
Huilin Zhang
This paper is concerned with the connection between G-Brownian Motion and analytic functions. We introduce the complex version of sublinear expectation, and then do the stochastic…