Annals of Mathematics · 1998 · 58 citations · 5 references
Spectral TheoryEngineeringSmooth Unimodal MapsTopological DynamicTopological InvariantQuantum Field TheoryPeriodic PointsTopological CombinatoricsCritical PhenomenonCombinatorial TypeStatistical Field TheoryRenormalization Operator
It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent α > 1, has periodic points of any combinatorial type.
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