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4 papers · 2 filters
Multifractal structure of Bernoulli convolutions
Thomas Jordan, Pablo Shmerkin, Boris Solomyak
Let be the distribution of the random series , where is a sequence of i.i.d. random variables taking the values 0,1 with probabilities $p,1…
Renormalization, Thermodynamic Formalism and Quasi-Crystals in Subshifts
Henk Bruin, Renaud Leplaideur
We examine thermodynamic formalism for a class of renormalizable dynamical systems which in the symbolic space is generated by the Thue-Morse substitution, and in complex dynamics…
Operator renewal theory and mixing rates for dynamical systems with infinite measure
Ian Melbourne, Dalia Terhesiu
We develop a theory of operator renewal sequences in the context of infinite ergodic theory. For large classes of dynamical systems preserving an infinite measure, we determine the…
Homological Pisot Substitutions and Exact Regularity
Marcy Barge, Henk Bruin, Leslie Jones +1
We consider one-dimensional substitution tiling spaces where the dilatation (stretching factor) is a degree d Pisot number, and where the first rational Cech cohomology is d-dimens…