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34 papers · 1 filter
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 $…
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…
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…
Large deviations for directed percolation on a thin rectangle
Jean-Paul Ibrahim
Following the recent investigations of Baik and Suidan in \cite{baik2005gcl} and Bodineau and Martin in \cite{bodineau2005upl}, we prove large deviation properties for a last-passa…
Mixed Weil cohomologies
Denis-Charles Cisinski, Frédéric Déglise
We define, for a regular scheme and a given field of characteristic zero $\KK$, the notion of $\KK$-linear mixed Weil cohomology on smooth -schemes by a simple set of proper…
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.…