Article citationsMore>>

Barreira, L. and Doutor, P. (2009) Almost Additive Multifractal Analysis. Journal de Mathematiques Pures et Appliquees, 92, 1-17.
http://dx.doi.org/10.1016/j.matpur.2009.04.006

has been cited by the following article:

• TITLE: Multifractal Analysis of the Asympyotically Additive Potentials

  AUTHORS: Lan Xu, Long Yang

  KEYWORDS: Multifractal Analysis, u-Dimension Spectra, Asymptotically Additive

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.13, December 22, 2014

  ABSTRACT: Multifractal analysis studies level sets of asymptotically defined quantities in dynamical systems. In this paper, we consider the u-dimension spectra on such level sets and establish a conditional variational principle for general asymptotically additive potentials by requiring only existence and uniqueness of equilibrium states for a dense subspace of potential functions.