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math.DS2015
Polynomial approximation of self-similar measures and the spectrum of the transfer operator
Christoph Bandt, Helena Peña
We consider self-similar measures on The Hutchinson operator acts on measures and is the dual of the transfer operator which acts on continuous functions. We d…
math.DS2015
Finite orbits in multivalued maps and Bernoulli convolutions
Christoph Bandt
Bernoulli convolutions are certain measures on the unit interval depending on a parameter between 1 and 2. In spite of their simple definition, they are not yet well understood…