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MALRIEU Florent
E-mail :
florent.malrieu@univ-rennes1.fr
Office : 320 building 22
Phone number: +33 (0)2 23 23 65 27
Fax number: +33 (0)2 23 23 67 90
Address:
IRMAR
Université de Rennes 1
Campus de Beaulieu
35042 Rennes Cedex FRANCE
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Since september 2002, I am a member of
IRMAR
(University of Rennes I). I belong to the team
Stochastic
Processes and Statistic.
I am a member of the team ASPI during the year 2010-2011.
I am interested in:
- logarithmic Sobolev inequalities and theirs applications,
- mean field interaction particle systems,
- nonlinear partial differential equations,
- Euler schemes.
Preprints
Published papers
- Trend to equilibrium and particle approximation for a weakly
selfconsistent Vlasov-Fokker-Planck Equation
In collaboration with
François Bolley
&
Arnaud Guillin
ESAIM Mathematical Modelling and Numerical Analysis (2010) Vol. 44, no. 5, 867-884
[HAL ·
arXiv ·
DOI]
- Long time behavior of diffusions with Markov switching
In collaboration with
Jean-Baptiste Bardet
&
Hélène Guérin
ALEA Latin American Journal of Probability and Mathematical Statistics (2010) Vol. 7, 151-170
[HAL ·
arXiv]
- On the long time behavior of the TCP window size process
In collaboration with
Djalil Chafaï
&
Katy Paroux
Stochastic Processes and their Applications
(2010) Vol. 120, no. 8, 1518-1534
[HAL ·
arXiv ·
DOI]
- On fine properties of mixtures with respect to concentration of
measure and Sobolev type inequalities
In collaboration with
Djalil Chafaï
Annales
de l'Institut Henri Poincaré (B) Probabilités et Statistiques
(2010) Vol. 46, no. 1, 72-96
[HAL ·
arXiv ·
DOI]
- Propagation of chaos and Poincaré inequalities for a system of
particles interacting through their cdf
In collaboration with
Benjamin Jourdain
Annals of Applied Probability
(2008) Vol. 18, no. 5, 1706-1736
[HAL ·
arXiv ·
DOI]
- Logarithmic Sobolev Inequalities for Inhomogeneous Semigroups
In collaboration with
Jean-François Collet
ESAIM Probability and Statistics
(2008) Vol. 12, 492-504
[HAL ·
arXiv ·
DOI]
- Probabilistic approach for granular media equations in the non uniformly convex case
In collaboration with
Patrick Cattiaux
&
Arnaud Guillin
Probability Theory and Related Fields
(2008) Vol. 140, no.1-2, 19-40
[HAL ·
ArXiv ·
DOI]
- Concentration inequalities for Euler schemes
In collaboration with
Denis Talay
Monte Carlo and Quasi-Monte Carlo Methods 2004, H. Niederreiter and D. Talay (Eds.), Springer-Verlag (2006) 355-371
[pdf]
-
Convergence to equilibrium for granular media equations
and their Euler schemes
Annals of Applied Probability
(2003) Vol. 13, no. 2, 540-560
[pdf ·
DOI]
- Équations de Hamilton-Jacobi et
inégalités entropiques généralisées
In collaboration with
Ivan Gentil
Comptes Rendus de l'Académie des Sciences Paris Sér. I Math
(2002) Vol. 335, no. 5, 437-440
[pdf ·
DOI]
- Logarithmic Sobolev Inequalities for some nonlinear PDE's
Stochastic Processes and their Applications
(2001) Vol. 95, no. 1, 109-132
[pdf ·
DOI]
- Inégalités de Sobolev logarithmiques pour
deux EDP non linéaires
Comptes Rendus de l'Académie des Sciences Paris Sér. I Math
(2000) Vol. 331, no. 10, 819-822
[DOI]
Book
-
Sur les inégalités de Sobolev
logarithmiques
In collaboration with Cécile Ané, Sébastien Blachère,
Djalil Chafaï, Pierre Fougères, Ivan
Gentil, Cyril Roberto, Grégory Scheffer
Panoramas et Synthèses no. 10, SMF, Paris, xvi+217p (2000)
Unpublished notes
- On the Laplace transform of perpetuities with thin tails
In collaboration with
Jean-Baptiste Bardet
&
Hélène Guérin
Unpublished notes (2009)
[HAL
·
arXiv]
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A note on functional inequalities for some Lévy processes
In collaboration with Djalil Chafaï
Unpublished notes (2002) [PDF]
Some connected works
PhD Thesis
Inégalités de Sobolev
logarithmiques pour des problèmes d'évolutions non linéaires
[Hal]
To French version.
