We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean ...

Graph-directed fractals are collections of metric spaces, each of which can be expressed as a union of several scaled copies of spaces from the collection. They give rise to weighted, directed graphs where the term comes ...

3-boyutlu hiperbolik uzayda, hacim hesabında sıkça kullanılan Lobachevsky fonksiyonu $JI :Bbb {R} rightarrow Bbb {R}}$ $JI(theta)=-int_0^theta log|2 sin x|dx$ şeklinde tanımlanır. Hiperbolik uzayda düzgün, ideal dörtyüzlünün ...

The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ...

Positively weighted graphs have a natural intrinsic metric. We consider finite, positively weighted graphs with a positive lower bound for their minimal weights and show that any two such graphs, which are close enough ...

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