M. Klein, C. Léonard and E. Rosenberger. Agmon-type estimates for a class
of jump processes. pdf
.
C. Léonard. Stochastic
derivatives
and h-transforms of Markov processes. pdf .
To appear
M. Beiglböck, C. Léonard and W. Schachermayer. A general duality theorem for the
Monge-Kantorovich transport problem, to appear in
Studia Mathematica. pdf .
C. Léonard. Girsanov
theory under a finite entropy condition, to appear in
Séminaire de probabilités de Strasbourg.pdf .
M. Beiglböck, C. Léonard and W. Schachermayer. A generalized dual maximizer for
the Monge-Kantorovich transport problem, to appear in
ESAIM P&S. pdf .
M. Beiglböck, C. Léonard and W. Schachermayer. On the duality for the
Monge-Kantorovich transport problem, to appear in the
proceedings of the summer school on Optimal Transport (Grenoble
2009) pdf .
Papers (after 2000)
C. Léonard. From the
Schrödinger problem to the Monge-Kantorovich problem.
J. Funct. Anal, 2012, 262: 1879–1920, pdf .
C. Léonard. A
saddle-point approach to the Monge-Kantorovich optimal
transport problem. ESAIM COCV,
July 2011, 17 : pp 682-704 . pdf
.
C. Léonard. Entropic
projections and dominating points. ESAIM P&S, 14, December 2010, 343-381 . pdf .
N. Gozlan and C. Léonard. Transport inequalities. A survey. Markov
Processes and Related Fields, 16, 2010, 635-736. pdf .
C. Léonard and J-C. Zambrini. A probabilistic deformation of calculus of variations
with constraints, Seminar on stochastic analysis,
random fields and applications, VI. (Ascona, 2008). Progress in
Probability, vol. 63, 177-189. (Birkhaüser), 2010. pdf .
C. Léonard. Convex
minimization problems with weak constraint qualifications.
Journal of Convex Analysis, 17 (1), 2010, 321-348. pdf .
A. Guillin, C. Léonard, L. Wu and N. Yao. Transportation-information
inequalities for Markov processes. Probability Theory
and Related Fields, 2009, 144:669–695. pdf .
C. Léonard. Minimization
of
entropy
functionals,
J. Math. Anal. Appl. 346, 2008, 183–204. pdf .
N. Gozlan and C. Léonard. A large deviation
approach to some transportation cost inequalities.
Probability Theory and Related Fields. Vol. 139, 2007,
235-283.pdf .
C. Léonard. Minimizers of energy functionals under
not very integrable constraints. Journal of Convex
Analysis. 10 (1), 2003, 63-88. pdf.
S. Boucheron, F. Gamboa and C.
Léonard. Bins and balls : Large deviations of the
empirical occupancy process. The Annals of Applied
Probability. 12, 2002, 607-636. pdf
.
C. Léonard and J. Najim. An extension of Sanov’s
theorem. Application to the Gibbs conditioning principle. Bernoulli.
Vol.8(6), 2002, 721-743. pdf .
C. Léonard. Minimizers of energy functionals.
Acta
Math.
Hungar.
93
(4),
2001, 281-325. pdf .
C. Léonard. Convex conjugates of integral
functionals. Acta Math. Hungar. 93 (4), 2001,
253-280. pdf .
C. Léonard. Minimization of energy functionals
applied to some inverse problems. J. App. Math. Optim. 44,
2001, 273-297. pdf .
C. Léonard. Large deviations for Poisson random
measures and processes with independent increments.
Stochastic Processes and their Applications. 85, 2000, 93-121. pdf .
Unpublished
A. Guillin, C. Léonard, F-Y. Wang and L. Wu. Transportation-information
inequalities for Markov processes (II): Relations with other
functional inequalities. pdf .
A first draft of my lecture notes on convex optimization
with an application to optimal transport, May 2006. pdf .
Some notes on Orlicz spaces,
April 2007. pdf .
To see other astonishing Hubble
pictures, click here. But don't forget to come back to my
webpage after your cosmic journey.
I'm a member of the ANR project GeMeCoD: "
Geometry of Convex and Discrete Measures ". I co-organize with Nathaël
Gozlan the related monthly working
seminar on "Curvature, optimal transport and probability
theory" at the Institut
Henri Poincaré.
Goldfishes
in
the
Greenhouse
of
Potsdam University
ANR project IFO (2006-2008)
With some colleagues: P. Cattiaux, J. Dolbeault, I. Gentil and A.
Guillin, I have initiated and organized the ANR (French agency for
research) project IFO
: "Inégalités Fonctionnelles, Probabilités et
Equations aux Dérivées Partielles" (Functional
inequalities, probability theory and partial differential
equations).
Rüdiger Murr prépare son doctorat en co-tutelle
sous la direction conjointe de Sylvie
Roelly (Potsdam U, Allemagne) et de moi-même. Son
travail porte sur les formules de dualité pour des
processus à sauts et leurs applications à
l'étude des processus réciproques et la
mécanique quantique euclidienne.
Je me suis occupé pendant la période 2005-2007
de promouvoir la mise en place d'une UFR de sciences exactes
à Paris Ouest. Vous pouvez consulter le dossier.
Membre du conseil scientifique de Paris Ouest.
Membre du comité consultatif disciplinaire (CCD) de
mathématiques de Paris Ouest.
Notes du cours de Maths 3 en
licence de sciences économiques et gestion : espaces
vectoriels, déterminants, optimisation sous contraintes.
Avec des illustrations graphiques d'Alain Thomazo.
Enseignements en 2011-2012
Je suis actuellement en délégation au CNRS. Reprise
de mes cours en avril 2012.
