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Laminational models for some spaces of polynomials of any degree /
The so-called ""pinched disk"" model of the Mandelbrot set is due to A. Douady, J.H. Hubbard and W.P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an equivalence relation that, loosely...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2020]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1288. |
| Temas: |
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
> Complex dynamical systems [See also 30D05, 32H50]
> Combinatorics and topology.
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| Acceso en línea: | Texto completo |
| Sumario: | The so-called ""pinched disk"" model of the Mandelbrot set is due to A. Douady, J.H. Hubbard and W.P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an equivalence relation that, loosely speaking, ""pinches"" the disk in the plane (whence the name of the model). The significance of the model lies in particular in the fact that this quotient is planar and therefore can be easily visualized. The conjecture that the Mandelbrot set is actually homeomorphic to this model is equivalent to the celebrated ML |
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| Notas: | "May 2020, volume 265, number 1288 (fifth of 7 numbers)." |
| Descripción Física: | 1 online resource (v, 118 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781470461447 1470461447 |