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Uniformizing Dessins and BelyiMaps via Circle Packing

Uniformizing Dessins and BelyiMaps via Circle Packing PDF Author: Philip L. Bowers
Publisher: American Mathematical Soc.
ISBN: 0821835238
Category : Mathematics
Languages : en
Pages : 118

Book Description
Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.

Uniformizing Dessins and BelyiMaps via Circle Packing

Uniformizing Dessins and BelyiMaps via Circle Packing PDF Author: Philip L. Bowers
Publisher: American Mathematical Soc.
ISBN: 0821835238
Category : Mathematics
Languages : en
Pages : 118

Book Description
Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.

Complex Dynamics

Complex Dynamics PDF Author: Robert L. Devaney
Publisher: American Mathematical Soc.
ISBN: 0821836250
Category : Mathematics
Languages : en
Pages : 218

Book Description
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.

Davenport–Zannier Polynomials and Dessins d’Enfants

Davenport–Zannier Polynomials and Dessins d’Enfants PDF Author: Nikolai M. Adrianov
Publisher: American Mathematical Soc.
ISBN: 1470456346
Category : Education
Languages : en
Pages : 187

Book Description
The French expression “dessins d'enfants” means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics. The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.

Combinations of Complex Dynamical Systems

Combinations of Complex Dynamical Systems PDF Author: Kevin M. Pilgrim
Publisher: Springer Science & Business Media
ISBN: 9783540201731
Category : Differentiable dynamical systems
Languages : en
Pages : 132

Book Description


The Journal of Analysis

The Journal of Analysis PDF Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 600

Book Description


Pacific Journal of Mathematics

Pacific Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1058

Book Description


Elementare und analytische Zahlentheorie (Tagungsband)

Elementare und analytische Zahlentheorie (Tagungsband) PDF Author: Stephan Baier
Publisher: Franz Steiner Verlag Wiesbaden GmbH
ISBN:
Category : History
Languages : en
Pages : 356

Book Description
Der vorliegende Band gibt Beitrage wieder, die auf Vortragen der Mainzer Tagung uber Elementare und Analytische Zahlentheorie (24.-28. Mai 2004) basieren, und daruber hinaus einige grosse Ubersichtsartikel zur Abschatzung von Fourier-Koeffizienten von Siegel'schen Spitzenformen, zu neueren Entwicklungen in der Theorie der Gitterpunkte, zum Goldbach-Problem und zur ABC-Vermutung fur Polynome (und "dessins d'enfants"). Die aktuellen Forschungsbeitrage befassen sich mit den verschiedensten Themenbereichen aus der analytischen Zahlentheorie, z.B. zum Waring-Problem, zu Verteilungsfragen fur arithmetische Funktionen, zu Kreisteilungspolynomen, und zur Anwendung von Abschatzungen von Exponentialsummen. Der Band soll auf einigen Teilgebieten der analytischen Zahlentheorie den gegenwartigen Stand der Forschung aufzeigen, und er kann Forschern in der Zahlentheorie Anregungen fur weitere wissenschaftliche Arbeit geben.

McGraw-Hill Yearbook of Science and Technology, 2010

McGraw-Hill Yearbook of Science and Technology, 2010 PDF Author: McGraw-Hill
Publisher: McGraw Hill Professional
ISBN: 0071639284
Category : Reference
Languages : en
Pages : 481

Book Description
More than 150 articles explore the latest advances in science and technology For more than 45 years, this annual publication has made information on the latest trends and developments in science and technology accessible to non-specialists through concise, well-illustrated articles. Readers will find 150 articles from 200+ leaders in their respective fields covering disciplines from Astronomy to Zoology. The Yearbook will be of interest to students, writers, researchers, professionals, and general readers.

Proceedings of the 36th Annual ACM Symposium on the Theory of Computing

Proceedings of the 36th Annual ACM Symposium on the Theory of Computing PDF Author:
Publisher:
ISBN:
Category : Computable complexity
Languages : en
Pages : 668

Book Description


Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 734

Book Description