A characterization of spheres among compact 3-bodies satisfying Crofton's theorem
A characterization of spheres among convex 3-bodies
A Decomposition of Measures in Euclidean Space Yielding Error Bounds for Quadrature Formulas.
A discrete version of the Brunn-Minkowski inequality and its stability
In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for metric measure spaces. Our new definition, based only on properties of the distance, allows also us to deal with discrete metric measure spaces. Then we show the stability of our new inequality under convergence of metric measure spaces. This result gives as corollary the stability of the classical Brunn-Minkowski inequality for geodesic spaces. The proof of this stability...
A further generalization of Ky Fan's maximal inequality and its applications
A general approach to dual characterizations of solvability of inequality systems with applications.
A generalization of the Cauchy-Schwarz inequality.
A geometric approach to correlation inequalities in the plane
By elementary geometric arguments, correlation inequalities for radially symmetric probability measures are proved in the plane. Precisely, it is shown that the correlation ratio for pairs of width-decreasing sets is minimized within the class of infinite strips. Since open convex sets which are symmetric with respect to the origin turn out to be width-decreasing sets, Pitt’s Gaussian correlation inequality (the two-dimensional case of the long-standing Gaussian correlation conjecture) is derived...
A Geometric Inequality and the Complexity of Computing Volume.
A geometric inequality involving a mobile point in the place of the triangle.
A geometric proof of some inequalities involving mixed volumes.
A Geometrical Isoperimetric Inequality and Applications to Problems of Mathematical Physics
À l'ombre de Loewner
A measure of asymmetry for domains of constant width.
A metric inequality associated with valuated fields
A new isometric inequality.
A note on Hayman's theorem on the bass note of a drum.
A note on separation by linear mappings
A note on sums of independent uniformly distributed random variables
A point in many triangles.