8 citations · 27 across the 15 of their papers we have counts for
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math.PR2014★ 1 cited
A link between the log-Sobolev inequality and Lyapunov condition
Yuan Liu
We give an alternative look at the log-Sobolev inequality (LSI in short) for log-concave measures by semigroup tools. The similar idea yields a heat flow proof of LSI under some qu…
math.PR2014★ 3 cited
Gaussian integrability of distance function under the Lyapunov condition
Yuan Liu
In this note we give a direct proof of the Gaussian integrability of distance function as for some provided the Lyapunov condition holds for symme…
math.PR2014★ 6 cited
Ergodicity and asymptotic stability of Feller semigroups on Polish metric spaces
Fu-Zhou Gong, Yuan Liu
We provide some sharp criteria for studying the ergodicity and asymptotic stability of general Feller semigroups on Polish metric spaces. As application, the 2D Navier-Stokes equat…