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.