output
20022011
most citedCluster expansion for abstract polymer models. New bounds from an old approach

80 citations

Showing 2008Show all

11 papers · 1 filter

math.DS200813 cited

Stochastically stable globally coupled maps with bistable thermodynamic limit

Jean-Baptiste Bardet, Gerhard Keller, Roland Zweimüller

We study systems of globally coupled interval maps, where the identical individual maps have two expanding, fractional linear, onto branches, and where the coupling is introduced v…

math.PR200837 cited

Sharp error terms for return time statistics under mixing conditions

Miguel Abadi, Nicolas Vergne

We describe the statistics of repetition times of a string of symbols in a stochastic process. Denote by T(A) the time elapsed until the process spells the finite string A and by S…

math.ST20089 cited

Adaptive asymptotically efficient estimation in heteroscedastic nonparametric regression via model selection

Leonid Galtchouk, Serguey Pergamenshchikov

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper, 2007, for estimating a unknown nonparametric regression. We prove that this proce…

math.CA2008

Isochronicity conditions for some real polynomial systems

Islam Boussaada

This paper focuses on isochronicity of linear center perturbed by a polynomial. Isochronicity of a linear center perturbed by a degree four and degree five polynomials is studied,…

math.ST20087 cited

Nonparametric estimation for an autoregressive model

Ouerdia Arkoun, Serguei Pergamenchtchikov

The paper deals with the nonparametric estimation problem at a given fixed point for an autoregressive model with unknown distributed noise. Kernel estimate modifications are propo…

math.PR200822 cited

Comparison between criteria leading to the weak invariance principle

Olivier Durieu, Dalibor Volný

The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposit…