Renormalization, Zygmund Smoothness and the Epstein Class

  • D. Sullivan
Part of the NATO ASI Series book series (NSSB, volume 280)


To randomize a deck of n-cards one may turn over one of the split stacks before shuffling. The resulting permutation of order n if irreducible is called a folding permutation because it may be accomplished by a continuous mapping f of the real line to itself which folds the line once. The orbit of the turning point is finite and f restricted to this finite orbit is the folding permutation.


Cross Ratio Quasi Conformal Mapping Folding Mapping Differentiable Structure Smoothness Class 
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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • D. Sullivan
    • 1
  1. 1.THESBures sur YvetteFrance

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