Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers

• Autorzy: Henry W. J. Reeve
• Języki publikacji: EN

Abstrakty

EN

We consider the multifractal analysis for Birkhoff averages of continuous potentials on a class of non-conformal repellers corresponding to the self-affine limit sets studied by Lalley and Gatzouras. A conditional variational principle is given for the Hausdorff dimension of the set of points for which the Birkhoff averages converge to a given value. This extends a result of Barral and Mensi to certain non-conformal maps with a measure dependent Lyapunov exponent.

Kategorie tematyczne

• 37C45: Dimension theory of dynamical systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 212
• Numer: 1
• Strony: 71-93

Daty

wydano

2011

Twórcy

autor

Henry W. J. Reeve

• Department of Mathematics, The University of Bristol, University Walk, Clifton, Bristol, BS8 1TW, UK

Identyfikatory

DOI

10.4064/fm212-1-5