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math.PR2023
Asymptotic stability for non-equicontinuous Markov semigroups
Fuzhou Gong, Yong Liu, Yuan Liu +1
We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a…
math.PR2013
A probabilistic proof of the fundamental gap conjecture via the coupling by reflection
Fuzhou Gong, Huaiqian Li, Dejun Luo
Let be a strictly convex domain with smooth boundary and diameter . The fundamental gap conjecture claims that if is convex, then t…