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20042011
most citedConcentration around the mean for maxima of empirical processes

207 citations

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Showing 2007Show all

22 papers · 1 filter

math.PR2007★ 2 cited

Central limit theorem for sampled sums of dependent random variables

Nadine Guillotin-Plantard, Clémentine Prieur

We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…

math.DS2007

Cubic polynomials with a parabolic point

Pascale Roesch

We consider the family of cubic polynomials with a simple parabolic fixed point. We prove that the boundary of the immediate basin of attraction of the parabolic point is a Jordan…

math.ST2007★ 66 cited

Semi-parametric estimation of shifts

Fabrice Gamboa, Jean-Michel Loubes, Elie Maza

We observe a large number of functions differing from each other only by a translation parameter. While the main pattern is unknown, we propose to estimate the shift parameters usi…

math.QA2007★ 17 cited

The q-analogue of the wild fundamental group (II)

J. -P. Ramis, J. Sauloy

In [RS1], we defined q-analogues of alien derivations and stated their basic properties. In this paper, we prove the density theorem and the freeness theorem announced in loc. cit.…

math.AP2007★ 1 cited

Semi-classical calculus on manifolds with ends and weighted Lp estimates

Jean-Marc Bouclet

For a class of non compact Riemannian manifolds with ends, we give pseudo-differential expansions of bounded functions of the semi-classical Laplacian and study related Lp boundedn…

math.DS2007

A local-global problem for linear differential equations

Marius van der Put, Marc Reversat

An inhomogeneous linear differential equation Ly=f over a global differential field can have a formal solution for each place without having a global solution. The vector space lgl…