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math.PR2010★ 4 cited
Some remarks on weighted logarithmic Sobolev inequality
Patrick Cattiaux, Arnaud Guillin, Liming Wu
We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequ…
math.PR2010
Bernstein type's concentration inequalities for symmetric Markov processes
Fuqing Gao, Arnaud Guillin, Liming Wu
Using the method of transportation-information inequality introduced in \cite{GLWY}, we establish Bernstein type's concentration inequalities for empirical means $\frac 1t \int_0^t…