36 citations · 143 across the 56 of their papers we have counts for
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Ergodicity of infinite white -stable Systems with linear and bounded interactions
Lihu Xu
We proved the existence of an infinite dimensional stochastic system driven by white -stable noises (), and prove this system is strongly mixing. Our method is by per…
Existence and Exponential mixing of infinite white -stable Systems with unbounded interactions
Lihu Xu, Boguslaw Zegarlinski
We study an infinite white -stable systems with unbounded interactions, proving the existence by Galerkin approximation and exponential mixing property by an -stable version…
Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises
Sergio Albeverio, Arnaud Debussche, Lihu Xu
We prove the strong Feller property and exponential mixing for 3D stochastic Navier-Stokes equation driven by mildly degenerate noises (i.e. all but finitely many Fourier modes are…
Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise
Lihu Xu, Marco Romito
We prove that the any Markov solution to the 3D stochastic Navier-Stokes equations driven by a mildly degenerate noise (i.e.all but finitely many Fourier modes are forced) is uniqu…