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Uniformizing dessins and Belyĭ maps via circle packing. / / Philip L. Bowers, Kenneth Stephenson



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Autore: Bowers Philip L. <1956-> Visualizza persona
Titolo: Uniformizing dessins and Belyĭ maps via circle packing. / / Philip L. Bowers, Kenneth Stephenson Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2004
©2004
Descrizione fisica: 1 online resource (118 p.)
Disciplina: 516/.11
Soggetto topico: Dessins d'enfants (Mathematics)
Circle packing
Riemann surfaces
Soggetto genere / forma: Electronic books.
Persona (resp. second.): StephensonKenneth <1945->
Note generali: "Volume 170, number 805 (second of 4 numbers)."
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""Contents""; ""List of Tables""; ""List of Figures""; ""Chapter1.Introduction""; ""Chapter 2. Dessins d'Enfants""; ""2.1. Dessins d'enfants""; ""2.2. The Equilateral Structure""; ""2.3. The Belyi Map""; ""Chapter 3. Discrete Dessins via Circle Packing""; ""3.1. Circle Packings""; ""3.2. Discrete Dessins""; ""3.3. Hexagonal Refinement""; ""3.4. Geometric Lemmas""; ""Chapter 4. Uniformizing Dessins""; ""4.1. Reflective Structures and Conformal Subdivisions""; ""4.2. Uniformizing Equilateral Surfaces""; ""4.3. Convergence of the Belyi Maps""; ""Chapter 5. A Menagerie of Dessins d'Enfants""
""5.1. Genus 0""""5.2. Genus 1""; ""5.3. Genus 2""; ""5.4. Higher Genera""; ""Chapter 6. Computational Issues""; ""6.1. Dessin Modifications""; ""Chapter 7. Additional Constructions""; ""7.1. Conformal Tilings""; ""7.2. The j function""; ""7.3. Schwarz Triangles""; ""7.4. Graph Embedding""; ""Chapter 8. Non-equilateral Triangulations""; ""8.1. Welding Approach""; ""8.2. Inversive Distance Packings""; ""Chapter 9. The Discrete Option""; ""9.1. Dessins""; ""9.2. Function Theory""; ""Chapter 10. Appendix: Implementation""; ""10.1. A Quick Experiment""; ""10.2. The algorithm""; ""10.3. Accuracy""
""Bibliography""
Titolo autorizzato: Uniformizing dessins and Belyĭ maps via circle packing  Visualizza cluster
ISBN: 1-4704-0406-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910479863703321
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Serie: Memoirs of the American Mathematical Society ; ; Number 805.