F. Martinelli, E. Scoppola — Random Composition of Two Rational Maps: Singularity of the Invariant Measure
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Название: Random Composition of Two Rational Maps: Singularity of the Invariant Measure
Авторы: F. Martinelli, E. Scoppola
Аннотация:
We study the invariant measure of a Markov chain obtained by randomly com-
posing two rational maps related to the Anderson model with a Bernoulli
potential. For a certain range of the parameters we show that the invariant
measure is singular continuous. In certain cases the support turns out to be a
Cantor set with a multifractal structure.
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