Gibbs properties of self-conformal measures and the multifractal formalism

• Autores: De-Jun Feng
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 3, 2007, págs. 787-812
• Idioma: inglés
• DOI: 10.1017/s0143385706000952
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• Resumen

  • We prove that for any self-conformal measures, without any separation conditions, the multifractal formalism partially holds. The result follows by establishing certain Gibbs properties for self-conformal measures.