Projects per year
Abstract
We introduce and study a family of non-conformal and non-uniformly contracting iterated function systems. We refer to the attractors of such systems as parabolic carpets. Roughly speaking they may be thought of as nonlinear analogues of self-affine carpets which are allowed to have parabolic fixed points. We compute the Lq-spectrum of a class of weak Gibbs measures supported on parabolic carpets as well as the box dimensions of the carpet itself.
Original language | English |
---|---|
Number of pages | 39 |
Journal | Israel Journal of Mathematics |
Early online date | 20 Jan 2025 |
DOIs | |
Publication status | E-pub ahead of print - 20 Jan 2025 |
Fingerprint
Dive into the research topics of 'Parabolic carpets'. Together they form a unique fingerprint.-
Fractals, dimension theory: Fractals, dimension theory and random matrix products
Jurga, N. A. (PI)
1/05/22 → 30/04/25
Project: Standard
-
New perspectives in the dimension: New perspectives in the dimension theory of fractals
Fraser, J. (PI)
1/09/19 → 31/01/23
Project: Standard
-
Fourier analytic techniques: Fourier analytic techniques in geometry and analysis
Fraser, J. (PI) & Falconer, K. J. (CoI)
1/02/18 → 11/06/21
Project: Standard