Existence and properties of p-tupling fixed points
Mathematical Physics
2009-10-31 v1 Dynamical Systems
math.MP
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.
Cite
@article{arxiv.math-ph/0004001,
title = {Existence and properties of p-tupling fixed points},
author = {Henri Epstein},
journal= {arXiv preprint arXiv:math-ph/0004001},
year = {2009}
}
Comments
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