Isometrien des Raumes der konvexen Körper
Isometries of Spaces of Compact Convex Subsets of Metric Manifolds.
Isomorphismes de lattis de fermés convexes
Isonemality and mononemality of woven fabrics
The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.
Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.
Isoperimetric Inequalities for Infinite Hyperplane Systems.
Isoperimetric inequalities for quermassintegrals
Isoperimetric numbers and spectral radius of some infinite planar graphs
Isoperimetric problem for uniform enlargement
We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
Isoperimetric Problems for Convex Bodies and a Localization Lemma.
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.