Complex Dynamics and Geometry (Smf/Ams Texts and Monographs, V. 10)

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9780821832288: Complex Dynamics and Geometry (Smf/Ams Texts and Monographs, V. 10)

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.

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Nessim Sibony, Jean-Christophe Yoccoz
Editore: American Mathematical Society, United States (2003)
ISBN 10: 082183228X ISBN 13: 9780821832288
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Descrizione libro American Mathematical Society, United States, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821832288

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Descrizione libro American Mathematical Society, 2003. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821832288

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Nessim Sibony, Jean-Christophe Yoccoz
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Descrizione libro American Mathematical Society, United States, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821832288

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Descrizione libro American Mathematical Society. Paperback. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780821832288

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Cerveau, Dominique (Editor)/ Kay, Leslie (Translator)
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Descrizione libro Amer Mathematical Society, 2003. Paperback. Condizione libro: Brand New. illustrated edition. 197 pages. 9.75x7.00x0.50 inches. In Stock. Codice libro della libreria __082183228X

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Descrizione libro Amer Mathematical Society, 2003. Paperback. Condizione libro: New. book. Codice libro della libreria M082183228X

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Dominique Cerveau (Editor), Leslie Kay (Translator)
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Descrizione libro Amer Mathematical Society, 2003. Paperback. Condizione libro: New. Codice libro della libreria DADAX082183228X

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