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20092023
most citedExponential Ergodicity of stochastic Burgers equations driven by -stable processes

36 citations · 143 across the 56 of their papers we have counts for

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Showing 2011Show all

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math.PR2011★ 3 cited

Exponential mixing for SDEs forced by degenerate Levy noises

Lihu Xu

We modify the coupling method established in [22, 20] and develop a technique to prove the exponential mixing of a 2D stochastic system forced by degenerate Levy noises. In particu…

math.PR2011

Invariance measures of stochastic 2D Navier-Stokes equations driven by -stable processes

Zhao Dong, Lihu Xu, Xicheng Zhang

In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Lévy processes (in particular, -stable processes), and obtain the existence o…

math.PR2011

A Modified log-Harnack inequality and asymptotically strong Feller property

Lihu Xu

We introduce a new functional inequality, which is a modification of log-Harnack inequality established in [20] and [29], and prove that it implies the asymptotically strong Feller…