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20022009
most citedCluster expansion for abstract polymer models. New bounds from an old approach

80 citations

Showing 2009Show all

7 papers · 1 filter

math.ST20095 cited

Non-parametric estimation in a semimartingale regression model. Part 1. Oracle Inequalities

Victor Konev, Serguei Pergamenchtchikov

This paper considers the problem of estimating a periodic function in a continuous time regression model with a general square integrable semimartingale noise. A model selection ad…

math.ST20099 cited

Nonparametric estimation in a semimartingale regression model. Part 2. Robust asymptotic efficiency

Victor Konev, Serguei Pergamenchtchikov

In this paper we prove the asymptotic efficiency of the model selection procedure proposed by the authors in the first part. To this end we introduce the robust risk as the least u…

math.DS20096 cited

Notes on Austin's multiple ergodic theorem

Thierry De la Rue

The purpose of this note is to present my understanding of Tim Austin's proof of the multiple ergodic theorem for commuting transformations, emphasizing on the use of joinings, ext…

math.CO2009

Transposition game

Elise Janvresse, Steve Kalikow, Thierry De La Rue

We introduce a two-player game, in which each player extends a given sequence by picking a free element in a domain D of the real line. The aim of the players is to control the par…

math.PR20093 cited

Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion

Jonathan Farfan, Claudio Landim, Mustapha Mourragui

We prove hydrostatics of boundary driven gradient exclusion processes, Fick's law and we present a simple proof of the dynamical large deviations principle which holds in any dimen…

math.ST20093 cited

A test of goodness-of-fit for the copula densities

Ghislaine Gayraud, Karine Tribouley

We consider the problem of testing hypotheses on the copula density from bi-dimensional observations. We wish to test the null hypothesis characterized by a parametric class ag…