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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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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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