On dynamics of certain Cantor sets
β Scribed by Saad I El-Zanati; William R.R Transue
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 416 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study some nonnegative matrix sets and investigate the relations between their extreme points. The results obtained answer a question posed by Marshall and Olkin and extend a result of Fulkerson concerning permutation matrices.
## Abstract For a homogeneous symmetric Cantor set __C__, we consider all real numbers __t__such that the intersection __C__β©(__C__ + __t__)is a selfβsimilar set and investigate the form of the corresponding iterated function systems. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim
Let K be the attractor of a linear iterated function system Sj x = Οjx + bj (j = 1, . . . , m) on the real line satisfying the open set condition (where the open set is an interval). It is well known that the packing dimension of K is equal to Ξ±, the unique positive solution y of the equation m j=1