47 citations · 204 across the 23 of their papers we have counts for
24 papers
Long-time behaviour of dynamical systems driven by bounded mixing noises
Peng Gao, Sergei Kuksin
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are reduced to…
Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation
Peng Gao, Sergei Kuksin
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law which provides an asymptotic expansion for the third moment o…
Controllability and ergodicity of 3D primitive equations driven by a finite-dimensional force
Pierre-Marie Boulvard, Peng Gao, Vahagn Nersesyan
We study the problems of controllability and ergodicity of the system of 3D primitive equations modeling large-scale oceanic and atmospheric motions. The system is driven by an add…
Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
Juven Wang, Kantaro Ohmori, Pavel Putrov +6
Distinct quantum vacua of topologically ordered states can be tunneled into each other via extended operators. The possible applications include condensed matter and quantum cosmol…
Strong averaging principle for stochastic Klein-Gordon equation with a fast oscillation
Peng Gao
This paper investigates an averaging principle for stochastic Klein-Gordon equation with a fast oscillation arising as the solution of a stochastic reaction-diffusion equation evol…
Stochastic averaging principle for multiscale stochastic linearly coupled complex cubic-quintic Ginzburg-Landau equations
Peng Gao, Yong Li
Stochastic averaging principle is a powerful tool for studying qualitative analysis of stochastic dynamical systems with different time-scales. In this paper, we will establish an…