Dynamics of multicritical circle maps

被引：0
|
作者：
Edson de Faria
Pablo Guarino
机构：
[1] Instituto de Matemática e Estatística,
[2] Universidade de São Paulo,undefined
[3] Instituto de Matemática e Estatística,undefined
[4] Universidade Federal Fluminense,undefined
来源：
São Paulo Journal of Mathematical Sciences | 2022年 / 16卷
关键词：
Rigidity; Multicritical circle maps; Renormalization; Primary 37E10; Secondary 37E20; 37C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents a survey of recent and not so recent results concerning the study of smooth homeomorphisms of the circle with a finite number of non-flat critical points, an important topic in the area of One-dimensional Dynamics. We focus on the analysis of the fine geometric structure of orbits of such dynamical systems, as well as on certain ergodic-theoretic and complex-analytic aspects of the subject. Finally, we review some conjectures and open questions in this field.
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页码：340 / 395
页数：55
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