On the multifractal formalism for Bernoulli products of invertible matrices

Autor:	Imen Bhouri, Houssem Tlili
Rok vydání:	2009
Předmět:	Pure mathematics Applied Mathematics Spectrum (functional analysis) Measure (mathematics) Sierpinski triangle law.invention Bernoulli's principle Invertible matrix Harmonic function law Hausdorff dimension Discrete Mathematics and Combinatorics Singularity spectrum Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 24:1129-1145
ISSN:	1553-5231
DOI:	10.3934/dcds.2009.24.1129
Popis:	We study the multifractal formalism for Bernoulli products of invertible matrices. Using the Fourier-Laplace transform, we prove the existence of a Frostman measure and so the validity of multifractal formalism. As an application we give an estimation of the spectrum of singularities of a harmonic function defined on the Sierpinski gasket.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::150e418367bbef97e15d0a7d79e5db02 https://doi.org/10.3934/dcds.2009.24.1129 Zobrazit plný text záznamu