Título:
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
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Autor:
Álvarez, Sebastien
Barrientos, Pablo
Filimonov, Dmitry
Kleptsyn, Victor
Malicet, Dominique
Meniño Cotón, Carlos
Triestino, Michele
Barrientos, Pablo
Filimonov, Dmitry
Kleptsyn, Victor
Malicet, Dominique
Meniño Cotón, Carlos
Triestino, Michele
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Tipo de documento:
Preprint
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Palabras clave:
Dynamical Systems
Group Theory
Group Theory
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Año de publicación:
2022
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Resumen:
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe several consequences, among which the solution (within this setting) to an old conjecture by P. R. Dippolito [Ann. Math. 107 (1978), 403-453] that actions with invariant Cantor sets must be semi-conjugate to piecewise linear actions. In addition, we exhibit examples of locally discrete, minimal actions which are not of Fuchsian type.
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arXiv
EN:
Mathematics (Dynamical Systems), arXiv:2104.03348 , jan 2022, pp 1-31
Financiadores:
ANII: FCE_3_2018_1_148740
Citación:
Álvarez, S, Barrientos, P, Filimonov, D, [y otros autores] "Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications". [Preprint]. Publicado en: Mathematics (Dynamical Systems), arXiv:2104.03348. jan 2022, pp 1-31.
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Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2104.03348.pdf | Preprint | 924.1 KB | Adobe PDF |