ON THE TOPOLOGICAL ENTROPY OF THE SPECTRA OF LIMIT POINTS OF MULTIERGODIC AVERAGE SEQUENCES
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
topological entropy, V-statistics, multifractal spectra.