Projects per year
Abstract
We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for Hölder continuous potentials. We show that these measures are exact dimensional and that their exact dimensions satisfy a Ledrappier–Young formula.
Original language | English |
---|---|
Number of pages | 15 |
Journal | Mathematische Zeitschrift |
Volume | First Online |
Early online date | 4 Oct 2021 |
DOIs | |
Publication status | E-pub ahead of print - 4 Oct 2021 |
Keywords
- Ledrappier–Young formula
- Quasi-Bernoulli measure
- Exact dimensional
- Non-conformal attractor
Fingerprint
Dive into the research topics of 'Ledrappier–Young formulae for a family of nonlinear attractors'. Together they form a unique fingerprint.Projects
- 1 Finished
-
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