Epstein H.
Existence and properties of $p$-tupling fixed points
(106K, LATeX 2e)
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 $r$ tends to
infinity.