The intersection of convex transversals is a convex polytope.
The inverse semigroup of partial symmetries of a convex polygon.
The isoperimetric inequality for a pentagon in and its generalization in space
The lattice polytope problem.
The Limit Shape of Convex Lattice Polygons.
The linear control problem
The Magic World of Geometry - I. The Isoperimetric Problem.
The Maximum Number of Ways To Stab n Convex Nonintersecting Sets in the Plane Is 2n - 2*.
The maximum piercing number for some classes of convex sets with the -property.
The Maximum Size of a Convex Polygon in a Restricted Set of Points in the Plane.
The mean of a maximum likelihood estimator associated with the Brownian bridge.
The mean surface area of the boxes circumscribed about a convex body
The minimum mean width translation cover for sets of diameter one.
The Minlos lemma for positive-definite functions on additive subgroups of
Let H be a real Hilbert space. It is well known that a positive-definite function φ on H is the Fourier transform of a Radon measure on the dual space if (and only if) φ is continuous in the Sazonov topology (resp. the Gross topology) on H. Let G be an additive subgroup of H and let (resp. ) be the character group endowed with the topology of uniform convergence on precompact (resp. bounded) subsets of G. It is proved that if a positive-definite function φ on G is continuous in the Gross topology,...
The operation of infimal convolution [Book]
The Orthogonal Convex Skull Problem.
The pentagram map.
The pentagram map is recurrent.
The plank problem for symmetric bodies.
The Poulsen simplex
It is proved that there is a unique metrizable simplex whose extreme points are dense. This simplex is homogeneous in the sense that for every 2 affinely homeomorphic faces and there is an automorphism of which maps onto . Every metrizable simplex is affinely homeomorphic to a face of . The set of extreme points of is homeomorphic to the Hilbert space . The matrices which represent are characterized.