Renormalization, Zygmund Smoothness and the Epstein Class
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.
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