Vector fields on Singular Varieties, Jean-Paul Brasselet; Jos? Seade; Tatsuo Suwa

Автор: C. T. C. Wall
Название: Singular Points of Plane Curves
ISBN: 0521839041 ISBN-13(EAN): 9780521839044
Издательство: Cambridge Academ
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Описание: The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.

Автор: Nicolai Leonenko
Название: Limit Theorems for Random Fields with Singular Spectrum
ISBN: 0792356357 ISBN-13(EAN): 9780792356356
Издательство: Springer
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Описание: Presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. Topics include concepts of the spectral theory of random fields, and Tauberian and Abelian theorems for covariance function of long-memory random fields.

Автор: Nicolai Leonenko
Название: Limit Theorems for Random Fields with Singular Spectrum
ISBN: 9401059470 ISBN-13(EAN): 9789401059473
Издательство: Springer
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Описание: This book is devoted to an investigation of the basic problems of the the- ory of random fields which are characterized by certain singular properties (e. g., unboundedness, or vanishing) of their spectral densities. These ran- dom fields are called, the random fields with singular spectrum, long-memory fields, random fields with long-range dependence, fields with slowly decaying correlations or strongly dependent random fields by various authors. This phenomenon has been observed empirically by many scientists long before suitable mathematical models were known. The methods and results differ significantly from the theory of weakly dependent random fields. The first chapter presents basic concepts of the spectral theory of random fields, some examples of random processes and fields with singular spectrum, Tauberian and Abelian theorems for the covariance function of singular ran- dom fields. In the second chapter limit theorems for non-linear functionals of random fields with singular spectrum are proved. Chapter 3 summarizes some limit theorems for geometric functionals of random fields with long-range dependence. Limit distributions of the solutions of Burgers equation with random data via parabolic and hyperbolic rescaling are presented in chapter 4. And chapter 5 presents some problems of statistical analysis of random fields with singular spectrum. I would like to thank the editor, Michiel Hazewinkel, for his support. I am grateful to the following students and colleagues: 1. Deriev, A. Olenko, K. Rybasov, L. Sakhno, M. Sharapov, A. Sikorskii, M. Silac-BenSic. I would also like to thank V.Anh, O. Barndorff-Nielsen, Yu. Belyaev, P.

Автор: Michael Griebel
Название: Singular Phenomena and Scaling in Mathematical Models
ISBN: 3319375881 ISBN-13(EAN): 9783319375885
Издательство: Springer
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Описание: Preface.- Area A - Scaling Limits of Diffusion Processes and Singular Spaces.- Area B - Multiple Scales in Mathematical Models of Materials Science and Biology.- Area C - Numerics for Multiscale Models and Singular Phenomena.

Автор: Robert E. O`Malley
Название: Historical Developments in Singular Perturbations
ISBN: 3319119230 ISBN-13(EAN): 9783319119236
Издательство: Springer
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Описание: This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.

Автор: J.K. Kevorkian; J.D. Cole
Название: Multiple Scale and Singular Perturbation Methods
ISBN: 0387942025 ISBN-13(EAN): 9780387942025
Издательство: Springer
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Цена: 23757.00 р.
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Описание: Covers multiple scale and averaging methods. This book presents an account of the various perturbation techniques used in the sciences and engineering. It is suitable for a graduate text as well as a reference work on the subject.

Автор: K. W. Chang; F. A. Howes
Название: Nonlinear Singular Perturbation Phenomena
ISBN: 038796066X ISBN-13(EAN): 9780387960661
Издательство: Springer
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Описание: The presentation involves a study of both scalar and vector boundary value problems for ordinary dif- ferential equations, by means of the consistent use of differential in- equality techniques.