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arXiv · 2103.01153

Dynamics of multicritical circle maps

Edson de Faria·Pablo Guarino
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Abstract

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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Edson de Faria, Pablo Guarino. 2021-03-01. Dynamics of multicritical circle maps. https://doi.org/10.1007/s40863-021-00236-1

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