Displaying similar documents to “Functional inequalities for heavy tailed distributions and application to isoperimetry.”

Around Nash inequalities

Dominique Bakry, François Bolley, Ivan Gentil (2010)

Journées Équations aux dérivées partielles

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Quantitative Isoperimetric Inequalities on the Real Line

Yohann de Castro (2011)

Annales mathématiques Blaise Pascal

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In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a half-space. Using only geometric tools, we extend their result to all symmetric log-concave measures on the real line. We give sharp quantitative isoperimetric inequalities and prove that among sets of given measure and given asymmetry (distance to half line, i.e. distance to sets...

The divisor problem for binary cubic forms

Tim Browning (2011)

Journal de Théorie des Nombres de Bordeaux

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We investigate the average order of the divisor function at values of binary cubic forms that are reducible over and discuss some applications.