Translation Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Translation Surfaces write by Jayadev S. Athreya. This book was released on 2024-04-17. Translation Surfaces available in PDF, EPUB and Kindle. This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the introductory nature of the book are deftly omitted, allowing readers to develop essential tools and motivation before delving into the literature. Beginning with the fundamental example of the flat torus, the book goes on to establish the three equivalent definitions of translation surface. An introduction to the moduli space of translation surfaces follows, leading into a study of the dynamics and ergodic theory associated to a translation surface. Counting problems and group actions come to the fore in the latter chapters, giving a broad overview of progress in the 40 years since the ergodicity of the Teichmüller geodesic flow was proven. Exercises are included throughout, inviting readers to actively explore and extend the theory along the way. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a one- or two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial.
Geometry and topology of wild translation surfaces
Geometry and topology of wild translation surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and topology of wild translation surfaces write by Randecker, Anja. This book was released on 2016-04-28. Geometry and topology of wild translation surfaces available in PDF, EPUB and Kindle. A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related.
Translation Surfaces
Translation Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Translation Surfaces write by Jayadev S. Athreya. This book was released on 2024-04-19. Translation Surfaces available in PDF, EPUB and Kindle. This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the introductory nature of the book are deftly omitted, allowing readers to develop essential tools and motivation before delving into the literature. Beginning with the fundamental example of the flat torus, the book goes on to establish the three equivalent definitions of translation surface. An introduction to the moduli space of translation surfaces follows, leading into a study of the dynamics and ergodic theory associated to a translation surface. Counting problems and group actions come to the fore in the latter chapters, giving a broad overview of progress in the 40 years since the ergodicity of the Teichmüller geodesic flow was proven. Exercises are included throughout, inviting readers to actively explore and extend the theory along the way. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a one- or two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial.
Mathematical Methods for Curves and Surfaces
Mathematical Methods for Curves and Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods for Curves and Surfaces write by Michael Floater. This book was released on 2017-10-17. Mathematical Methods for Curves and Surfaces available in PDF, EPUB and Kindle. This volume constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2016, held in Tønsberg, Norway, in June 2016. The 17 revised full papers presented were carefully reviewed and selected from 115 submissions. The topics range from mathematical theory to industrial applications.
Encyclopedia of Analytical Surfaces
Encyclopedia of Analytical Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Encyclopedia of Analytical Surfaces write by S.N. Krivoshapko. This book was released on 2015-02-25. Encyclopedia of Analytical Surfaces available in PDF, EPUB and Kindle. This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to structural and civil engineers and serves as valuable reference for mathematicians.
