|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910479863703321 |
|
|
Autore |
Bowers Philip L. <1956-> |
|
|
Titolo |
Uniformizing dessins and Belyĭ maps via circle packing. / / Philip L. Bowers, Kenneth Stephenson |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2004 |
|
©2004 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (118 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 805 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Dessins d'enfants (Mathematics) |
Circle packing |
Riemann surfaces |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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"" |
|
|
|
|