Publications / Preprints
Links
[pdf]
. [pdf]
Relative entropy of cone measures and Lp centroid bodies
(with
E. Werner), Proceedings of the London Mathematical Society, 2011; doi:
10.1112/plms/pdr030. [pdf]
Small ball probability estimates,
PSI_2-behavior and the hyperplane conjecture
with
N.Dafnis, Journal of Functional Analysis 258 (2010), 1933-1964. [pdf]
Small ball probability estimates for log-concave measures
Trans. Amer. Math. Soc. (2012), 287-308
[pdf]
High
dimensional random sections of isotropic convex bodies
(with
D. Alonso-Gutierrez , J.
Bastero and J.
Bernues) Journal of Math. Analysis and Appl. 361,
(2010)(2), 431-439. [pdf]
A
stability result for mean width of L_p-centroid bodies
(with
B. Fleury and O.
Guedon ) Advances in Mathematics 214
(2007), 865-877. [pdf]
A
note on subgaussian estimates for linear functionals on convex
bodies
(with
A. Giannopoulos and
A. Pajor
) Proc. Amer. Math. Soc. 135
(2007), 2599-2606. [ps]
Concentration
of mass in convex bodies
Geometric
and Functional Analysis 16
(2006), 1021-1049 [pdf]
Concentration
of mass on isotropic convex bodies
Comptes
Rendus Mathematique, 342
(2006), 179-182 [ps]
Concentration
of mass on the Schatten classes
(with
O. Guedon )
Annales de l'Institute Henri Poincare "Probabilites et
Statistiques" 43
(2007), 87-99. [pdf]
On
the Psi_2 behavior of linear functionals on isotropic convex bodies
Studia Math. 168
(2005), 285-299 [ps]
Concentration
of mass and central limit properties of isotropic convex bodies
133 (2005), 565-575. [ps]
Quermassintegrals
of a random polytope in a convex body
(with M. Hartzoulaki,)
Arch. Math. 80
(2003), [ps]
Psi_2
estimates for linear functionals on zonoids
Lecture Notes in
Mathematics 1807
(2003), 211-222. [ps]
On
a local version of the Aleksandrov-Fenchel inequalities for the
quermassintegrals of a convex body
(with A.
Giannopoulos and M. Hartzoulaki,) Proc. Amer. Math. Soc. 130
(2002), 2403-2412. [ps]
On
the isotropic constant of non-symmetric convex bodies
Geometric
Aspects of Functional Analysis, Lecture Notes in Mathematics 1745
(2000), [ps]