Title

Multifractal Formalism for Self-Affine Measures with Overlaps

Document Type

Article

Publication Date

6-2009

Publication Title

Archiv der Mathematik

DOI

10.1007/s00013-009-2969-9

ISSN

1420-8938

Abstract

We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the L q-spectrum τ(q) is differentiable for all q > 0. Furthermore, we prove that the multifractal formalism holds in the region corresponding to q > 0.

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