Mod Convergence

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Mod-φ Convergence

Author : Valentin Féray
Publisher : Springer
ISBN 13 : 3319468227
Total Pages : 161 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mod-φ Convergence by : Valentin Féray

Download or read book Mod-φ Convergence written by Valentin Féray and published by Springer. This book was released on 2016-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-φ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.

Convergence in Ergodic Theory and Probability

Author : Vitaly Bergelson
Publisher : Walter de Gruyter
ISBN 13 : 3110889382
Total Pages : 461 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Convergence in Ergodic Theory and Probability by : Vitaly Bergelson

Download or read book Convergence in Ergodic Theory and Probability written by Vitaly Bergelson and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Algebra

Author : George Chrystal
Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Algebra by : George Chrystal

Download or read book Algebra written by George Chrystal and published by . This book was released on 1889 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on Algebra

Author : James Edward Oliver
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Treatise on Algebra by : James Edward Oliver

Download or read book A Treatise on Algebra written by James Edward Oliver and published by . This book was released on 1887 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Study of the Elements of the Differential and Integral Calculus

Author : Axel Harnack
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to the Study of the Elements of the Differential and Integral Calculus by : Axel Harnack

Download or read book An Introduction to the Study of the Elements of the Differential and Integral Calculus written by Axel Harnack and published by . This book was released on 1891 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Everywhere Convergence II

Author : Alexandra Bellow
Publisher : Academic Press
ISBN 13 : 1483265927
Total Pages : 288 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Almost Everywhere Convergence II by : Alexandra Bellow

Download or read book Almost Everywhere Convergence II written by Alexandra Bellow and published by Academic Press. This book was released on 2014-05-10 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Séminaire de Probabilités L

Author : Catherine Donati-Martin
Publisher : Springer Nature
ISBN 13 : 3030285359
Total Pages : 562 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Séminaire de Probabilités L by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités L written by Catherine Donati-Martin and published by Springer Nature. This book was released on 2019-11-19 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This milestone 50th volume of the "Séminaire de Probabilités" pays tribute with a series of memorial texts to one of its former editors, Jacques Azéma, who passed away in January. The founders of the "Séminaire de Strasbourg", which included Jacques Azéma, probably had no idea of the possible longevity and success of the process they initiated in 1967. Continuing in this long tradition, this volume contains contributions on state-of-art research on Brownian filtrations, stochastic differential equations and their applications, regularity structures, quantum diffusion, interlacing diffusions, mod-Ø convergence, Markov soup, stochastic billiards and other current streams of research.

Knowledge Engineering and Knowledge Management

Author : Krzysztof Janowicz
Publisher : Springer
ISBN 13 : 3319137042
Total Pages : 641 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Knowledge Engineering and Knowledge Management by : Krzysztof Janowicz

Download or read book Knowledge Engineering and Knowledge Management written by Krzysztof Janowicz and published by Springer. This book was released on 2014-11-01 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Knowledge Engineering and Knowledge Management, EKAW 2014, held in Linköping, Sweden, in November 2014. The 24 full papers and 21 short papers presented were carefully reviewed and selected from 138 submissions. The papers cover all aspects of eliciting, acquiring, modeling, and managing knowledge, the construction of knowledge-intensive systems and services for the Semantic Web, knowledge management, e-business, natural language processing, intelligent information integration, personal digital assistance systems, and a variety of other related topics.

A Road to Randomness in Physical Systems

Author : Eduardo Engel
Publisher : Springer Science & Business Media
ISBN 13 : 9780387977409
Total Pages : 172 pages
Book Rating : 4.9/5 (774 download)

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Book Synopsis A Road to Randomness in Physical Systems by : Eduardo Engel

Download or read book A Road to Randomness in Physical Systems written by Eduardo Engel and published by Springer Science & Business Media. This book was released on 1992-02-21 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many ways of introducing the concept of probability in classical, deterministic physics. This volume is concerned with one approach, known as 'the method of arbitrary functions', which was first considered by Poincare. Essentially, the method proceeds by associating some uncertainty to our knowledge of both the initial conditions and the values of the physical constants that characterize the evolution of a physical system. By modeling this uncertainty by a probability density distribution, it is then possible to analyze how the state of the system evolves through time. This approach may be applied to a wide variety of classical problems and the author considers here examples as diverse as bouncing balls, simple and coupled harmonic oscillators, integrable systems (such as spinning tops), planetary motion, and billiards. An important aspect of this account is to study the speed of convergence for solutions in order to determine the practical relevance of the method of arbitrary functions for specific examples. Consequently, both new results on convergence, and tractable upper bounds are derived and applied.

Algebra : an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges

Author : George Chrystal
Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Algebra : an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges by : George Chrystal

Download or read book Algebra : an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges written by George Chrystal and published by . This book was released on 1893 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Empirical Processes and Semiparametric Inference

Author : Michael R. Kosorok
Publisher : Springer Science & Business Media
ISBN 13 : 0387749780
Total Pages : 482 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Introduction to Empirical Processes and Semiparametric Inference by : Michael R. Kosorok

Download or read book Introduction to Empirical Processes and Semiparametric Inference written by Michael R. Kosorok and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kosorok’s brilliant text provides a self-contained introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. This is an authoritative text that covers all the bases, and also a friendly and gradual introduction to the area. The book can be used as research reference and textbook.

A Treatise on Plane Trigonometry

Author : Ernest William Hobson
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis A Treatise on Plane Trigonometry by : Ernest William Hobson

Download or read book A Treatise on Plane Trigonometry written by Ernest William Hobson and published by . This book was released on 1921 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Convergence of Productivity

Author : William J. Baumol
Publisher : Oxford University Press
ISBN 13 : 0195359267
Total Pages : 356 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Convergence of Productivity by : William J. Baumol

Download or read book Convergence of Productivity written by William J. Baumol and published by Oxford University Press. This book was released on 1994-06-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study is a collection of original articles that view the current state of knowledge of the convergence hypothesis. The hypothesis asserts that at least since the Second World War, and perhaps for a considerable period before that, the group of industrial countries was growing increasingly homogeneous in terms of levels of productivity, technology and per capita incomes. In addition, there was general catch up toward the leader, with gradual erosion of the gap between the leader country, the U.S., throughout most of the pertinent period, and that of the countries lagging most closely behind it. The book examines patterns displayed by individual industries within countries as well as the aggregate economies, various influences that underlie the process of convergence that seems to have occurred, and the role that convergence has played and promises to play in the future of the newly industrialized nations and the less developed countries. Much of the analysis is set in a historical perspective, with particular attention paid to the record following World War II. The prestigious editors conclude that increasing productivity is the key to rising living standards in a globalized marketplace. Contributors include: Moses Abramovitz, Alice M. Amsden, Magnus Blomstrom, David Dollar, Takashi Hikino, Gregory Ingram, William Lazonick, Frank Lichtenberg, Robert E. Lipsey, Angus Maddison, Gavin Wright, and Mario Zejan.

Introduction to Number Theory

Author : Richard Michael Hill
Publisher : World Scientific Publishing Company
ISBN 13 : 1786344734
Total Pages : 264 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Introduction to Number Theory by : Richard Michael Hill

Download or read book Introduction to Number Theory written by Richard Michael Hill and published by World Scientific Publishing Company. This book was released on 2017-12-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers. The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions. Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.

Operator Theory and Related Topics

Author : V.M. Adamyan
Publisher : Birkhäuser
ISBN 13 : 3034884133
Total Pages : 426 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Operator Theory and Related Topics by : V.M. Adamyan

Download or read book Operator Theory and Related Topics written by V.M. Adamyan and published by Birkhäuser. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is the second of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This second volume is devoted to operator theory and related topics. It opens with the bibliography of M. G. Krein and a number of survey papers about his work. The main part of the book consists of original research papers presenting the state of the art in operator theory and its applications. The first volume of these proceedings, entitled Differential Operators and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Bibliography of Mark Grigorevich Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Review papers: M. G. Krein's Contributions to Prediction Theory H. Dym M. G. Krein's Contribution to the Moment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 AA Nudelman Research Papers: Solution of the Truncated Matrix Hamburger Moment Problem according to M. G. Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Y. M. Adamyan and I. M. Tkachenko Extreme Points of a Positive Operator Ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 T. Ando M-accretive Extensions of Sectorial Operators and Krein Spaces . . . . . . . . . 67 Y. M. Arlinskii A Simple Proof of the Continuous Commutant Lifting Theorem . . . . . . . . . . 83 R. Bruzual and M.

High Accuracy Surface Modeling Method: The Robustness

Author : Na Zhao
Publisher : Springer Nature
ISBN 13 : 9811640270
Total Pages : 200 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis High Accuracy Surface Modeling Method: The Robustness by : Na Zhao

Download or read book High Accuracy Surface Modeling Method: The Robustness written by Na Zhao and published by Springer Nature. This book was released on 2021-08-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the robustness analysis of high accuracy surface modeling method (HASM) to yield good performance of it. Understanding the sensitivity and uncertainty is important in model applications. The book aims to advance an integral framework for assessing model error that can demonstrate robustness across sets of possible controls, variable definitions, standard error, algorithm structure, and functional forms. It is an essential reference to the most promising numerical models. In areas where there is less certainty about models, but also high expectations of transparency, robustness analysis should aspire to be as broad as possible. This book also contains a chapter at the end featuring applications in climate simulation illustrating different implementations of HASM in surface modeling. The book is helpful for people involved in geographical information science, ecological informatics, geography, earth observation, and planetary surface modeling.

Infinite Ergodic Theory of Numbers

Author : Marc Kesseböhmer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110430851
Total Pages : 230 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Infinite Ergodic Theory of Numbers by : Marc Kesseböhmer

Download or read book Infinite Ergodic Theory of Numbers written by Marc Kesseböhmer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-10 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents: Preface Mathematical symbols Number-theoretical dynamical systems Basic ergodic theory Renewal theory and α-sum-level sets Infinite ergodic theory Applications of infinite ergodic theory Bibliography Index