Bárány, Balázs and Käenmäki, Antti and Rossi, Eino (2020) Assouad dimension of planar self-affine sets. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. ISSN 0002-9947 (print); 1088-6850 (online) (In Press)
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Abstract
We calculate the Assouad dimension of a planar self-affine set X satisfying the strong separation condition and the projection condition and show that X is minimal for the conformal Assouad dimension. Furthermore, we see that such a self-affine set X adheres to very strong tangential regularity by showing that any two points of X, which are generic with respect to a self-affine measure having simple Lyapunov spectrum, share the same collection of tangent sets.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Dr. Balázs Bárány |
| Date Deposited: | 12 Sep 2020 17:16 |
| Last Modified: | 03 Apr 2023 06:54 |
| URI: | http://real.mtak.hu/id/eprint/113085 |
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