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20042011
most citedConcentration around the mean for maxima of empirical processes

207 citations

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Showing 2010 · math.PRShow all

3 papers · 2 filters

math.PR2010

Optimal Weighted Poincaré and Log-Sobolev Inequalities for Cauchy Measures

Zhengliang Zhang, Bin Qian, Wei Liu

In this paper, We establish the weighted Poincaré inequalities and Log-Sobolev inequalities for Cauchy distributions with optimal weight functions.

math.PR2010

On barycentric subdivision, with simulations

Persi Diaconis, Laurent Miclo

Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives r…

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…