Existence and properties of p-tupling fixed points

Details Existence and properties of p-tupling fixed points Existence and properties of p-tupling fixed points

2000-04-03

arxiv.org/abs/math-ph/0004001v1

Communs.Math.Phys 215, 443-476 (2000). http://link.springer.de/link/service/journals/00220/bibs/0215002/02150443.htm

Physics

Mathematical Physics

LaTeX 2e

Scientific paper

10.1007/s002200000311

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 $r$ tends to infinity.

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