The Estimate for Topological Entropy of the Level Sets on the Boundary Points of Multifractal Spectrum
XU Lan
Abstract：Multifractal Analysis is one of the most important fields in dimension theory of Dynamical Systems. Considering the level sets and multifractal spectrum about Birkhoff average, for transformations satisfying the specification property such that the entropy map is upper semi-continuous, we prove the topological entropy of level sets located on the boundary of multifractal spectrum is a Legendre transform of some pressure function.
Keywords：dynamical syetemmultifractal spectrumtopological entropy
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 33-36 )