Geometric probabilities for convex bodies of large revolution in the Euclidean space . II.
Geometric probabilities for non convex lattices. II
We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.
Geometrical probabilities for convex test bodies.
How many intervals cover a point in random dyadic covering?
Inequalities for Hadwiger's Harmonic Quermassintegrals.
Integral geometry and real zeros of Thue-Morse polynomials.
Intrinsic volumes and f-vectors of random polytopes.
Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.
Iterated Boolean random varieties and application to fracture statistics models
Models of random sets and of point processes are introduced to simulate some specific clustering of points, namely on random lines in and and on random planes in . The corresponding point processes are special cases of Cox processes. The generating distribution function of the probability distribution of the number of points in a convex set and the Choquet capacity are given. A possible application is to model point defects in materials with some degree of alignment. Theoretical results...
Iterations of translative integral formulae and non-isotropic Poisson processes of particles.
Kinematic formulae for support measures of convex bodies.
Maße für gerichtete Geraden und nicht-symmetrische Pseudometriken in der Ebene II.
Mesures de courbure des variétés lisses et des polyèdres
New Applications of Random Sampling in Computational Geometry.
Notes on the integral geometry in the hyperbolic plane
On a Conjecture of R. E. Miles About the Convex Hull of Random Points.
On a Spherical Integral Transformation and Sections of Star Bodies.
On a statistical approach to Bertrand's problem.
On areas and integral geometry in Minkowski spaces.
On boundaries of unions of sets with positive reach.