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Multifractal Analysis of the Asympyotically Additive Potentials

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DOI: 10.4236/jamp.2014.213133    3,384 Downloads   3,653 Views  
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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.

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The authors declare no conflicts of interest.

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Xu, L. and Yang, L. (2014) Multifractal Analysis of the Asympyotically Additive Potentials. Journal of Applied Mathematics and Physics, 2, 1139-1148. doi: 10.4236/jamp.2014.213133.


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