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1. |
Record Nr. |
UNINA9910154745403321 |
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Autore |
McMullen Curtis T. |
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Titolo |
Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1995 |
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ISBN |
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Descrizione fisica |
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1 online resource (229 pages) : illustrations |
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Collana |
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Annals of Mathematics Studies ; ; 317 |
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Disciplina |
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Soggetti |
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Renormalization (Physics) |
Polynomials |
Dynamics |
Mathematical physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index |
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Sommario/riassunto |
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Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the |
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behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps. |
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2. |
Record Nr. |
UNINA9910411650403321 |
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Autore |
Villa Matteo |
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Titolo |
The Future of Migration to Europe |
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Pubbl/distr/stampa |
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Descrizione fisica |
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1 online resource (157 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Emigration and immigration - History |
Europe Emigration and immigration |
Europe Emigration and immigration Government policy |
Developing countries Relations Europe |
Europe Relations Developing countries |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Even as the 2013-2017 "migration crisis" is increasingly in the past, EU countries still struggle to come up with alternative solutions to foster safe, orderly, and regular migration pathways, Europeans continue to look in the rear-view mirror. This Report is an attempt to reverse the perspective, by taking a glimpse into the future of migration to Europe. What are the structural trends underlying migration flows to Europe, and how are they going to change over the next two decades? How does migration interact with specific policy fields, such as development, border management, and integration? And what are the policies and best practicies to manage migration in a more coherent and evidence-based way? |
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