ON THE TOPOLOGICAL ENTROPY OF THE SPECTRA OF LIMIT POINTS OF MULTIERGODIC AVERAGE SEQUENCES

Alejandro Mesón, Fernando Vericat · Far East Journal of Dynamical Systems · 2015

Let be a compact metric space and if is the product of r-copies of X, and Then theV-statistics with kernel F are defined as In this article, we are mainly interested in the multifractal decomposition where are limit points of the sequence and I is a closed interval. We obtain a variational expression for the topological entropy of

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