Decay of geometry for Fibonacci critical covering maps of the circle

Autor:	Edson Vargas, Eduardo Colli, Marcio Lima do Nascimento
Rok vydání:	2009
Předmět:	Mathematics::Dynamical Systems Fibonacci number Covering space Applied Mathematics Geometry Absolute continuity Critical point (mathematics) SISTEMAS DINÂMICOS Invariant measure Exponential decay Schwarzian derivative Mathematical Physics Analysis Mathematics Probability measure
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
Popis:	We study the growth of D f n ( f ( c ) ) when f is a Fibonacci critical covering map of the circle with negative Schwarzian derivative, degree d ⩾ 2 and critical point c of order l > 1 . As an application we prove that f exhibits exponential decay of geometry if and only if l ⩽ 2 , and in this case it has an absolutely continuous invariant probability measure, although not satisfying the so-called Collet–Eckmann condition.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c348491bcb5cdc3bc0be2527ee20e13 Zobrazit plný text záznamu