Feigenbaum universality and the thermodynamic formalism

CONTENTS § 1. Sequences of period-doubling bifurcations § 2. Facts from the general theory of continuous one-dimensional maps § 3. The doubling transformation § 4. Properties of the Feigenbaum attractor § 5. Small random perturbations of the map g § 6. Feigenbaum universality in the multi-dimensional case and some other generalizations References

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