Olivier Durieu

Maître de Conférences

Faculté des Sciences et Techniques
Université François Rabelais
Parc de Grandmont
37200 TOURS, France

Bureau : Bâtiment E2, bureau E 3020
Téléphone : (33)-2-47-36-74-12
Fax : (33)-2-47-36-70-68
Courriel :

Par ici.

# Recherche

## Preprints :

• From infinite urn schemes to decompositions of self-similar Gaussian processes. [ ArXiv ]
• Invariance principles for operator-scaling Gaussian random fields. [ Hal ]

## Publications :

• Invariance principles for self-similar set-indexed random fields. Transactions of the American Mathematical Society, volume 366, 11, p. 5963-5989, 2014. [ Hal ] [ pdf ]
• A sequential empirical central limit theorem for multiple mixing processes with application to B-geometrically ergodic markov chains. Electronic Journal of Probability, volume 19, 87, p. 1-26, 2014. [ ArXiv ] [ pdf ]
• Approximating class approach for empirical processes of dependent sequences indexed by functions. Bernoulli, volume 20, 3, p. 1372-1403, 2014. [ ArXiv ] [ pdf ]
• An empirical process central limit theorem for multidimensional dependent data. Journal of Theoretical Probability, volume 27, 1, p. 249-277, 2014. [ ArXiv ] [ pdf ]
• Empirical processes of iterated maps that contract on average. Statistics and Probability Letters, volume 83, 11, p. 2454-2458, 2013. [ ArXiv ] [ pdf ]
• An indicator function limit theorem in dynamical systems. Stochastics and Dynamics, volume 11, 4, p. 681-690, 2011. [ ArXiv ] [ pdf ]
• Empirical processes of multidimensional systems with multiple mixing properties. Stochastic Processes and their Applications, volume 121, 5, p. 1076-1096, 2011. [ ArXiv ] [ pdf ]
• On sums of indicator functions in dynamical systems. Ergodic Theory and Dynamical Systems, volume 30, 5, p. 1419-1430, 2010. [ ArXiv ] [ pdf ]
• New techniques for empirical processes of dependent data. Stochastic Processes and their Applications. volume 119, 10, p. 3699-3718, 2009. [ ArXiv ] [ pdf ]
• Independence of four projective criteria for the weak invariance principle. Aléa, Latin American Journal of Probability and Mathematical Statistics, volume 5, p. 21-27, 2009. [ ArXiv ] [ pdf ]
• A fourth moment inequality for functionals of stationary processes. Journal of Applied Probability, volume 45, 4, p. 1086-1096, 2008. [ ArXiv ] [ pdf ]
• Empirical invariance principle for ergodic torus automorphisms; Genericity. Stochastics and Dynamics, volume 8, 2, p. 173-195, 2008. [ pdf ]
• Comparison between criteria leading to the weak invariance principle. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, volume 44, 2, p. 324-340, 2008. [ ArXiv ] [ pdf ]

## Ma Thèse :

• Comportements asymptotiques des processus stationnaires et des processus empiriques dans des systèmes dynamiques, sous la direction de Dalibor Volný et Philippe Jouan, soutenue le 1er décembre 2008. [ pdf ]

# Posters

- Le poster de l'équipe de Probabilités et Théorie Ergodique du LMPT [ pdf ]
- "La planche de Galton" à l'occasion de la fête de la science 2008 (à Rouen). [ pdf ]
- "4 couleurs suffisent" (avec N. Bruyère) à l'occasion de la fête de la science 2007 (à Rouen). [ pdf ]