Holomorphic Dynamics on Hyperbolic Riemann 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 Holomorphic Dynamics on Hyperbolic Riemann Surfaces write by Marco Abate. This book was released on 2022-12-05. Holomorphic Dynamics on Hyperbolic Riemann Surfaces available in PDF, EPUB and Kindle. This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.
Holomorphic Dynamical Systems on Riemann Surfaces
Holomorphic Dynamical Systems on Riemann 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 Holomorphic Dynamical Systems on Riemann Surfaces write by Shimon Brooks. This book was released on 2004. Holomorphic Dynamical Systems on Riemann Surfaces available in PDF, EPUB and Kindle.
Mathematical Tools for One-Dimensional Dynamics
Mathematical Tools for One-Dimensional Dynamics - 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 Tools for One-Dimensional Dynamics write by Edson de Faria. This book was released on 2008-10-02. Mathematical Tools for One-Dimensional Dynamics available in PDF, EPUB and Kindle. Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.
Complex Dynamics and Geometry
Complex Dynamics and Geometry - 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 Complex Dynamics and Geometry write by Dominique Cerveau. This book was released on 2003. Complex Dynamics and Geometry available in PDF, EPUB and Kindle. In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid development, for example the qualitative theory of differential equations in the complex domain. The meeting, ``Etat de la recherche'', held at Ecole Normale Superieure de Lyon, presented the current state of the art in this area, emphasizing the unity linking the various sub-domains. This volume contains four survey articles corresponding to the talks presented at this meeting. D. Cerveau describes the structure of polynomial differential equations in the complex plane, focusing on the local analysis in neighborhoods of singular points. E. Ghys surveys the theory of laminations by Riemann surfaces which occur in many dynamical or geometrical situations. N. Sibony describes the present state of the generalization of the Fatou-Julia theory for polynomial or rational maps in two or more complex dimensions. Lastly, the talk by J.-C. Yoccoz, written by M. Flexor, considers polynomials of degree $2$ in one complex variable, and in particular, with the hyperbolic properties of these polynomials centered around the Jakobson theorem. This is a general introduction that gives a basic history of holomorphic dynamical systems, demonstrating the numerous and fruitful interactions among the topics. In the spirit of the ``Etat de la recherche de la SMF'' meetings, the articles are written for a broad mathematical audience, especially students or mathematicians working in different fields. This book is translated from the French edition by Leslie Kay.
Integrable Systems and Riemann Surfaces of Infinite Genus
Integrable Systems and Riemann Surfaces of Infinite Genus - 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 Integrable Systems and Riemann Surfaces of Infinite Genus write by Martin Ulrich Schmidt. This book was released on 1996. Integrable Systems and Riemann Surfaces of Infinite Genus available in PDF, EPUB and Kindle. This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.
