Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254837 | Chaos, Solitons & Fractals | 2015 | 10 Pages |
Abstract
We prove a general fact on the Hausdorff dimension of the achievement set in Banach spaces. As a corollary we obtain that if 0 < q ⤠1/2, dimH(A(qn, qÏ(n))) = dimH(A(xn)) = âlogâ2/logâq for some class of regular permutations Ï â Sâ.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Artur Bartoszewicz, Szymon GÅa̧b,