Existence and properties of p-tupling fixed points
arXiv:math-ph/0004001 · doi:10.1007/s002200000311
Abstract
We prove the existence of fixed points of p-tupling renormalization operators for interval and circle mappings having a critical point of arbitrary real degree r > 1. Some properties of the resulting maps are studied: analyticity, univalence, behavior as tends to infinity.
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