Isoperimetric Regions in Rnwith Density rp
We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.
Isoperimetrische Probleme für konvexe Bereiche mit krümmungsbeschränkten Breitenkörpern I
Isoperimetrische Ungleichung für geschlossene Raumsechsecke
Isoperimetrische Ungleichungen für geschlossene Kurven
Isoperimetrische Ungleichungen für räumliche Kurven und Polygone
Isoptics of a closed strictly convex curve. - II
Isosceles sets.
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...
Iterated Means of Convex Bodies.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.
Iterations of translative integral formulae and non-isotropic Poisson processes of particles.