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1. |
Record Nr. |
UNINA9910786510203321 |
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Autore |
Graczyk Jacek |
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Titolo |
The real Fatou conjecture / / by Jacek Graczyk and Grzegorz Swiatek |
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Pubbl/distr/stampa |
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Princeton, New Jersey : , : Princeton University Press, , 1998 |
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{copy}1998 |
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ISBN |
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0-691-00257-6 |
1-4008-6518-2 |
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Descrizione fisica |
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1 online resource (158 p.) |
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Collana |
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Annals of Mathematics Studies ; ; Number 144 |
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Disciplina |
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Soggetti |
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Geodesics (Mathematics) |
Polynomials |
Mappings (Mathematics) |
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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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Note generali |
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Description based upon print version of record. |
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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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Front matter -- Contents -- Chapter 1. Review of Concepts -- Chapter 2. Quasiconformal Gluing -- Chapter 3. Polynomial-Like Property -- Chapter 4. Linear Growth of Moduli -- Chapter 5. Quasi conformal Techniques -- Bibliography -- Index |
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Sommario/riassunto |
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In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students. |
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2. |
Record Nr. |
UNINA9910137563803321 |
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Autore |
Campbell John Y. |
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Titolo |
Asset Prices and Monetary Policy / / John Y. Campbell |
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Pubbl/distr/stampa |
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Chicago : , : University of Chicago Press, , 1998 |
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Descrizione fisica |
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1 online resource (ix, 433 pages) |
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Collana |
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National Bureau of Economic Research conference report |
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Disciplina |
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Soggetti |
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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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Economic growth, low inflation, and financial stability are among the most important goals of policy makers, and central banks such as the Federal Reserve are key institutions for achieving these goals. In Asset Prices and Monetary Policy, leading scholars and practitioners probe the interaction of central banks, asset markets, and the general economy to forge a new understanding of the challenges facing policy makers as they manage an increasingly complex economic system. The contributors examine how central bankers determine their policy prescriptions with reference to the fluctuating housing. |
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