output
19932026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2010 · math.PRShow all

3 papers · 2 filters

math.PR2010★ 4 cited

Weighted Nash Inequalities

Dominique Bakry, François Bolley, Ivan Gentil +1

Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities. In this work we pres…

math.PR2010★ 32 cited

Dimension dependent hypercontractivity for Gaussian kernels

Dominique Bakry, François Bolley, Ivan Gentil

We derive sharp, local and dimension dependent hypercontractive bounds on the Markov kernel of a large class of diffusion semigroups. Unlike the dimension free ones, they capture r…

math.PR2010

Stochastic control under progressive enlargement of filtrations and applications to multiple defaults risk management

Huyen Pham

We formulate and investigate a general stochastic control problem under a progressive enlargement of filtration. The global information is enlarged from a reference filtration and…