𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system

✍ Scribed by Urbanski, M


Book ID
121433869
Publisher
Institute of Physics
Year
1991
Tongue
English
Weight
495 KB
Volume
4
Category
Article
ISSN
0951-7715

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Hausdorff Dimension of Sets Arising
✍ Bryan P. Rynne πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 204 KB

Let m, n be positive integers and let : Z n Γ„ R be a non-negative function. Let W(m, n; ) be the set { X # R mn : " : n j=1 x ij q j " < (q), 1 i m, for infinitely many q # Z n = . The Hausdorff dimension of W(m, n; ) is obtained for arbitrary non-negative functions , with no monotonicity assumpti

Metric dimension of the intersections of
✍ Tatsuo Goto πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 519 KB

In this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, m and k be arbitrary integers such that 0 < m < n -1 3 1 and m < k < min{2m, n -1). Then there exists a point set Xk,, in Euclidean n-space IR" such that (i) pdimX& = m and dimXk,, = k, (ii) pdim(X& n H) = m