Topics in Harmonic Analysis and Ergodic Theory

Topics in Harmonic Analysis and Ergodic Theory PDF Author: Joseph Rosenblatt
Publisher: American Mathematical Soc.
ISBN: 0821842358
Category : Mathematics
Languages : en
Pages : 242

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Book Description
There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.

Almost Everywhere Convergence II

Almost Everywhere Convergence II PDF Author: Alexandra Bellow
Publisher: Academic Press
ISBN: 1483265927
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Almost Everywhere Convergence II presents the proceedings of the Second International Conference on Almost Everywhere Convergence in Probability and Ergodotic Theory, held in Evanston, Illinois on October 16–20, 1989. This book discusses the many remarkable developments in almost everywhere convergence. Organized into 19 chapters, this compilation of papers begins with an overview of a generalization of the almost sure central limit theorem as it relates to logarithmic density. This text then discusses Hopf's ergodic theorem for particles with different velocities. Other chapters consider the notion of a log–convex set of random variables, and proved a general almost sure convergence theorem for sequences of log–convex sets. This book discusses as well the maximal inequalities and rearrangements, showing the connections between harmonic analysis and ergodic theory. The final chapter deals with the similarities of the proofs of ergodic and martingale theorems. This book is a valuable resource for mathematicians.

Proceedings of the London Mathematical Society

Proceedings of the London Mathematical Society PDF Author: London Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 572

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Book Description
"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume III

Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume III PDF Author: Lucien M. Le Cam
Publisher: Univ of California Press
ISBN: 0520375904
Category : Mathematics
Languages : en
Pages : 732

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Book Description
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1972.

Introduction to Banach Spaces: Analysis and Probability: Volume 2

Introduction to Banach Spaces: Analysis and Probability: Volume 2 PDF Author: Daniel Li
Publisher: Cambridge University Press
ISBN: 1108298168
Category : Mathematics
Languages : en
Pages : 405

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Book Description
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Operations Research Proceedings 1994

Operations Research Proceedings 1994 PDF Author: Ulrich Derigs
Publisher: Springer Science & Business Media
ISBN: 3642794599
Category : Business & Economics
Languages : en
Pages : 593

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Book Description
An insight into the latest results from the world of operations research - a wide-ranging field, as is shown by the book's 24 sections, corresponding to the conference program itself. Although problems of a primarily methodological nature are discussed, the emphasis is placed firmly on practical subjects, such as reports from the fields of healthcare, environmental protection, logistics and traffic engineering. This selection also clearly illustrates the extent to which OR is spreading into and already interwoven in other scientific disciplines.

Economic Dynamics, second edition

Economic Dynamics, second edition PDF Author: John Stachurski
Publisher: MIT Press
ISBN: 0262372444
Category : Business & Economics
Languages : en
Pages : 395

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Book Description
The second edition of a rigorous and example-driven introduction to topics in economic dynamics that emphasizes techniques for modeling dynamic systems. This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real-world problems. The material makes extensive use of programming examples to illustrate ideas, bringing to life the abstract concepts in the text. Key topics include algorithms and scientific computing, simulation, Markov models, and dynamic programming. Part I introduces fundamentals and part II covers more advanced material. This second edition has been thoroughly updated, drawing on recent research in the field. New for the second edition: “Programming-language agnostic” presentation using pseudocode. New chapter 1 covering conceptual issues concerning Markov chains such as ergodicity and stability. New focus in chapter 2 on algorithms and techniques for program design and high-performance computing. New focus on household problems rather than optimal growth in material on dynamic programming. Solutions to many exercises, code, and other resources available on a supplementary website.

Proceedings of the seventh conference on probability theory

Proceedings of the seventh conference on probability theory PDF Author: Marius Iosifescu
Publisher: VSP
ISBN: 9789067640404
Category : Science
Languages : en
Pages : 680

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Book Description
The Proceedings of the Seventh Conference on Probability Theory contains all the invited papers and a selection of those contributed at the conference, held in Bra?ov, Romania on August 29th to September 2nd, 1982. The scope of this conference was considerably broaded than those of recent years. In addition to probability theory, the book includes sections on mathematical statistics, operational research and mathematical programming, and biomathematics. A number of the papers published provide an overview of recent research results. Others examine the direction research is taking, and discuss contemporary problems in the science. The book will be of value not only to the individual scientist but also to the department or institute library with collections in this area.

Economic Dynamics

Economic Dynamics PDF Author: John Stachurski
Publisher: MIT Press
ISBN: 0262012774
Category : Business & Economics
Languages : en
Pages : 392

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Book Description
A rigorous and example-driven introduction to topics in economic dynamics, with an emphasis on mathematical and computational techniques for modeling dynamic systems. This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real world problems. The material makes extensive use of programming examples to illustrate ideas. These programs help bring to life the abstract concepts in the text. Background in computing and analysis is offered for readers without programming experience or upper-level mathematics. Topics covered in detail include nonlinear dynamic systems, finite-state Markov chains, stochastic dynamic programming, stochastic stability and computation of equilibria. The models are predominantly nonlinear, and the emphasis is on studying nonlinear systems in their original form, rather than by means of rudimentary approximation methods such as linearization. Much of the material is new to economics and improves on existing techniques. For graduate students and those already working in the field, Economic Dynamics will serve as an essential resource.

Proceedings of the Section of Sciences

Proceedings of the Section of Sciences PDF Author: Koninklijke Akademie van Wetenschappen (Netherlands). Afdeeling Natuurkunde
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 548

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Book Description


Nonparametric Econometrics

Nonparametric Econometrics PDF Author: Qi Li
Publisher: Princeton University Press
ISBN: 0691248087
Category : Business & Economics
Languages : en
Pages : 768

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Book Description
A comprehensive, up-to-date textbook on nonparametric methods for students and researchers Until now, students and researchers in nonparametric and semiparametric statistics and econometrics have had to turn to the latest journal articles to keep pace with these emerging methods of economic analysis. Nonparametric Econometrics fills a major gap by gathering together the most up-to-date theory and techniques and presenting them in a remarkably straightforward and accessible format. The empirical tests, data, and exercises included in this textbook help make it the ideal introduction for graduate students and an indispensable resource for researchers. Nonparametric and semiparametric methods have attracted a great deal of attention from statisticians in recent decades. While the majority of existing books on the subject operate from the presumption that the underlying data is strictly continuous in nature, more often than not social scientists deal with categorical data—nominal and ordinal—in applied settings. The conventional nonparametric approach to dealing with the presence of discrete variables is acknowledged to be unsatisfactory. This book is tailored to the needs of applied econometricians and social scientists. Qi Li and Jeffrey Racine emphasize nonparametric techniques suited to the rich array of data types—continuous, nominal, and ordinal—within one coherent framework. They also emphasize the properties of nonparametric estimators in the presence of potentially irrelevant variables. Nonparametric Econometrics covers all the material necessary to understand and apply nonparametric methods for real-world problems.