03081nam 2200601 450 991047986370332120170822144415.01-4704-0406-0(CKB)3360000000464989(EBL)3114258(SSID)ssj0000976611(PQKBManifestationID)11566912(PQKBTitleCode)TC0000976611(PQKBWorkID)11019968(PQKB)10040321(MiAaPQ)EBC3114258(PPN)195416929(EXLCZ)99336000000046498920150416h20042004 uy 0engur|n|---|||||txtccrUniformizing dessins and Belyĭ maps via circle packing. /Philip L. Bowers, Kenneth StephensonProvidence, Rhode Island :American Mathematical Society,2004.©20041 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 805"Volume 170, number 805 (second of 4 numbers)."0-8218-3523-8 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Number 805.Dessins d'enfants (Mathematics)Circle packingRiemann surfacesElectronic books.Dessins d'enfants (Mathematics)Circle packing.Riemann surfaces.516/.11 Bowers Philip L.1956-855244Stephenson Kenneth1945-MiAaPQMiAaPQMiAaPQBOOK9910479863703321Uniformizing dessins and Belyĭ maps via circle packing1909407UNINA