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Author: Jaap Eldering
Publisher: Springer Science & Business Media
ISBN: 9462390037
Category : Mathematics
Languages : en
Pages : 197
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Book Description
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context. Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds.
Author: Jaap Eldering
Publisher: Springer Science & Business Media
ISBN: 9462390037
Category : Mathematics
Languages : en
Pages : 197
Get Book Here
Book Description
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context. Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds.
Author: Stefania A. M. Marcantognini
Publisher: American Mathematical Soc.
ISBN: 0821803042
Category : Mathematics
Languages : en
Pages : 528
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Book Description
The collection covers a broad spectrum of topics, including: wavelet analysis, Haenkel operators, multimeasure theory, the boundary behavior of the Bergman kernel, interpolation theory, and Cotlar's Lemma on almost orthogonality in the context of L[superscript p] spaces and more...
Author: Jeffrey Racine
Publisher: Oxford University Press
ISBN: 0199857946
Category : Business & Economics
Languages : en
Pages : 562
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Book Description
This volume, edited by Jeffrey Racine, Liangjun Su, and Aman Ullah, contains the latest research on nonparametric and semiparametric econometrics and statistics. Chapters by leading international econometricians and statisticians highlight the interface between econometrics and statistical methods for nonparametric and semiparametric procedures.
Author: Great Britain. Army
Publisher:
ISBN:
Category :
Languages : en
Pages : 1212
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Book Description
Author: Zongzhu Lin
Publisher: American Mathematical Soc.
ISBN: 0821845551
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Nothing provided
Author: Bing-Yuan Cao
Publisher: Springer
ISBN: 3642107125
Category : Technology & Engineering
Languages : en
Pages : 383
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Book Description
This book studies optimized models with fuzzy quantities. It can be used by undergraduates in higher education, master graduates and doctor graduates. It also serves as a reference for researchers, particularly for those in the field of soft science.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1441915966
Category : Mathematics
Languages : en
Pages : 241
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Book Description
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
Author: Hai-Yang Cheng
Publisher: World Scientific
ISBN: 9789810243760
Category : Science
Languages : en
Pages : 554
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Book Description
Proceedings of the Third International Conference on B Physics and CP Violation, held in Taipei, Taiwan, December 3-7, 1999. The main focus of the conference was to discuss the state of the art and future prospects of the field, at a high technical level. The fifth conference is to be held in May 2002 in Philadelphia. The Fourth took place in Central Japan in February 2001.zation.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1242
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Book Description
Author: Anastasios Tsiatis
Publisher: Springer Science & Business Media
ISBN: 0387373454
Category : Mathematics
Languages : en
Pages : 392
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Book Description
This book summarizes current knowledge regarding the theory of estimation for semiparametric models with missing data, in an organized and comprehensive manner. It starts with the study of semiparametric methods when there are no missing data. The description of the theory of estimation for semiparametric models is both rigorous and intuitive, relying on geometric ideas to reinforce the intuition and understanding of the theory. These methods are then applied to problems with missing, censored, and coarsened data with the goal of deriving estimators that are as robust and efficient as possible.
