Regular Variation Extensions And Tauberian Theorems

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Regular Variation Extensions And Tauberian Theorems

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Author : J. L. Geluk
language : en
Publisher:
Release Date : 1987

Regular Variation Extensions And Tauberian Theorems written by J. L. Geluk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Analytic functions categories.

Regular Variation Extensions And Tauberian Theorems

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Author : J. L. Geluk
language : en
Publisher:
Release Date : 1987

Regular Variation Extensions And Tauberian Theorems written by J. L. Geluk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Regular Variation

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Author : N. H. Bingham
language : en
Publisher: Cambridge University Press
Release Date : 1989-06-15

Regular Variation written by N. H. Bingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-15 with Mathematics categories.

A comprehensive account of the theory and applications of regular variation.

Regular Variation And Differential Equations

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Author : Vojislav Maric
language : en
Publisher: Springer
Release Date : 2007-05-06

Regular Variation And Differential Equations written by Vojislav Maric and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.

This is the first book offering an application of regular variation to the qualitative theory of differential equations. The notion of regular variation, introduced by Karamata (1930), extended by several scientists, most significantly de Haan (1970), is a powerful tool in studying asymptotics in various branches of analysis and in probability theory. Here, some asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a new method that the well-developed theory of regular variation has yielded. A good graduate course both in real analysis and in differential equations suffices for understanding the book.

Probabilistic Applications Of Tauberian Theorems

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Author : Arsen L. Yakimiv
language : en
Publisher: Walter de Gruyter
Release Date : 2012-03-20

Probabilistic Applications Of Tauberian Theorems written by Arsen L. Yakimiv and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-20 with Mathematics categories.

The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Tauberian Theory

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Author : Jacob Korevaar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Tauberian Theory written by Jacob Korevaar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.

Pseudo Regularly Varying Functions And Generalized Renewal Processes

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Author : Valeriĭ V. Buldygin
language : en
Publisher: Springer
Release Date : 2018-10-12

Pseudo Regularly Varying Functions And Generalized Renewal Processes written by Valeriĭ V. Buldygin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-12 with Mathematics categories.

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in many fields of mathematics. The structure of the book reflects the historical development of the authors’ research work and approach – first some applications are discussed, after which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the asymptotic behavior of renewal processes, involving cases of dependent inter-arrival times. This method works for other important functionals as well, such as first and last exit times or sojourn times (also under dependencies), and it can be used to solve several other problems. For example, various applications in function analysis concerning Abelian and Tauberian theorems can be studied as well as those in studies of the asymptotic behavior of solutions of stochastic differential equations. The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions. The book provides a rigorous treatment of the subject and may serve as an introduction to the field. It is aimed at researchers and students working in probability, the theory of stochastic processes, operations research, mathematical statistics, the theory of functions, analytic number theory and complex analysis, as well as economists with a mathematical background. Readers should have completed introductory courses in analysis and probability theory.

Model Theoretic Methods In Finite Combinatorics

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Author : Martin Grohe
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-11-28

Model Theoretic Methods In Finite Combinatorics written by Martin Grohe and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-28 with Mathematics categories.

This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.

A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials

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Author : Florica C. Cîrstea
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08

A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials written by Florica C. Cîrstea and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.

In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.

Mathematical Statistics And Limit Theorems

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Author : Marc Hallin
language : en
Publisher: Springer
Release Date : 2015-04-07

Mathematical Statistics And Limit Theorems written by Marc Hallin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-07 with Mathematics categories.

This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.