Analysis At Large

Author : Artur Avila,Michael Th. Rassias,Yakov Sinai
Publisher : Springer Nature
Page : 388 pages
File Size : 47,6 Mb
Release : 2022-11-01
Category : Mathematics
ISBN : 9783031053313

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Analysis at Large by Artur Avila,Michael Th. Rassias,Yakov Sinai Pdf

​Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékopa-Leindler inequality and sumsets with quasicubes, the fractal uncertainty principle for the Walsh-Fourier transform, the continuous formulation of shallow neural networks as Wasserstein-type gradient flows, logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators, polynomial equations in subgroups, trace sets of restricted continued fraction semigroups, exponential sums, twisted multiplicativity and moments, the ternary Goldbach problem, as well as the multiplicative group generated by two primes in Z/QZ. It is hoped that this volume will inspire further research in the areas of analysis treated in this book and also provide direction and guidance for upcoming developments in this essential subject of mathematics.

Author : Agostino Di Ciaccio,Mauro Coli,Jose Miguel Angulo Ibanez
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 55,5 Mb
Release : 2012-03-05
Category : Mathematics
ISBN : 9783642210372

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Advanced Statistical Methods for the Analysis of Large Data-Sets by Agostino Di Ciaccio,Mauro Coli,Jose Miguel Angulo Ibanez Pdf

The theme of the meeting was “Statistical Methods for the Analysis of Large Data-Sets”. In recent years there has been increasing interest in this subject; in fact a huge quantity of information is often available but standard statistical techniques are usually not well suited to managing this kind of data. The conference serves as an important meeting point for European researchers working on this topic and a number of European statistical societies participated in the organization of the event. The book includes 45 papers from a selection of the 156 papers accepted for presentation and discussed at the conference on “Advanced Statistical Methods for the Analysis of Large Data-sets.”

Author : Zhidong Bai,Jack W. Silverstein
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 44,6 Mb
Release : 2009-12-10
Category : Mathematics
ISBN : 9781441906618

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Spectral Analysis of Large Dimensional Random Matrices by Zhidong Bai,Jack W. Silverstein Pdf

The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as the semicircular law of Wigner matrices, the Marcenko-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions, central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematical tools, among them being: truncation techniques, matrix identities, moment convergence theorems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginning researchers, having a basic knowledge of matrix theory and an understanding of probability theory at the graduate level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailed handbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one on the authors' results on the limiting behavior of eigenvectors of sample covariance matrices, another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of other areas which are typically considered part of the general field of random matrix theory.

Author : Becker, Daniel
Publisher : KIT Scientific Publishing
Page : 124 pages
File Size : 54,7 Mb
Release : 2017-04-03
Category : Electronic
ISBN : 9783731505525

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Realtime Analysis of Large-Scale Data by Becker, Daniel Pdf

Author : Adalbert F.X. Wilhelm,Hans A. Kestler
Publisher : Springer
Page : 656 pages
File Size : 42,6 Mb
Release : 2016-08-03
Category : Computers
ISBN : 9783319252261

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Analysis of Large and Complex Data by Adalbert F.X. Wilhelm,Hans A. Kestler Pdf

This book offers a snapshot of the state-of-the-art in classification at the interface between statistics, computer science and application fields. The contributions span a broad spectrum, from theoretical developments to practical applications; they all share a strong computational component. The topics addressed are from the following fields: Statistics and Data Analysis; Machine Learning and Knowledge Discovery; Data Analysis in Marketing; Data Analysis in Finance and Economics; Data Analysis in Medicine and the Life Sciences; Data Analysis in the Social, Behavioural, and Health Care Sciences; Data Analysis in Interdisciplinary Domains; Classification and Subject Indexing in Library and Information Science. The book presents selected papers from the Second European Conference on Data Analysis, held at Jacobs University Bremen in July 2014. This conference unites diverse researchers in the pursuit of a common topic, creating truly unique synergies in the process.

Author : Michel
Publisher : Academic Press
Page : 288 pages
File Size : 53,8 Mb
Release : 1977-08-24
Category : Computers
ISBN : 9780080956435

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Qualitative Analysis of Large Scale Dynamical Systems by Michel Pdf

This book develops a unified approach to qualitative analysis of large scale systems described by many diversified types of equations.

Author : Shriram Santhanagopalan,Kandler Smith,Jeremy Neubauer,Gi-Heon Kim,Ahmad Pesaran,Matthew Keyser
Publisher : Artech House
Page : 240 pages
File Size : 48,5 Mb
Release : 2014-12-01
Category : Technology & Engineering
ISBN : 9781608077144

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Design and Analysis of Large Lithium-Ion Battery Systems by Shriram Santhanagopalan,Kandler Smith,Jeremy Neubauer,Gi-Heon Kim,Ahmad Pesaran,Matthew Keyser Pdf

This new resource provides you with an introduction to battery design and test considerations for large-scale automotive, aerospace, and grid applications. It details the logistics of designing a professional, large, Lithium-ion battery pack, primarily for the automotive industry, but also for non-automotive applications. Topics such as thermal management for such high-energy and high-power units are covered extensively, including detailed design examples. Every aspect of battery design and analysis is presented from a hands-on perspective. The authors work extensively with engineers in the field and this book is a direct response to frequently-received queries. With the authors’ unique expertise in areas such as battery thermal evaluation and design, physics-based modeling, and life and reliability assessment and prediction, this book is sure to provide you with essential, practical information on understanding, designing, and building large format Lithium-ion battery management systems.

Author : Jonathan Leonard Ryder,Stanford University. Computer Science Department
Publisher : Unknown
Page : 630 pages
File Size : 47,5 Mb
Release : 1971
Category : Algorithms
ISBN : STANFORD:36105024605508

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Heuristic Analysis of Large Trees as Generated in the Game of Go by Jonathan Leonard Ryder,Stanford University. Computer Science Department Pdf

The Japanese game of Go is of interest both as a problem in mathematical representation and as a game which generates a move tree with an extraordinarily high branching factor (100 to 300 branches per ply). The complexity of Go (and the difficulty of Go for human players) is thought to be considerably greater than that of chess. The constraints of being able to play a complete game and of being able to produce a move with a moderate amount of processing time were placed on the solution. The basic approach used was to find methods for isolating and exploring several sorts of relevant subsections of the global game tree. This process depended heavily on the ability to define and manipulate entitles of Go as recursive functions rather than as patterns of stones. A general machine-accessible theory of Go was developed to provide context for program evaluations. A program for playing Go is now available on the Stanford PDP-10 computer. (Modified author abstract).

Author : Heinz Siedentop
Publisher : World Scientific
Page : 304 pages
File Size : 51,5 Mb
Release : 2013-05-20
Category : Science
ISBN : 9789814460163

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Complex Quantum Systems by Heinz Siedentop Pdf

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics. These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems. Contents:Stability of Matter (Rafael D Benguria and Benjamín A Loewe)Mathematical Density and Density Matrix Functional Theory (DFT and DMFT) (Volker Bach)On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree–Fock Interactions (Thomas Chen)On the Minimization of Hamiltonians over Pure Gaussian States (Jan Dereziński, Marcin Napiórkowski and Jan Philip Solovej)Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem (Maho Nakata, Mituhiro Fukuda, and Katsuki Fujisawa)Fermionic Quantum Many-Body Systems: A Quantum Information Approach (Christina V Kraus)Hydrogen-Like Atoms in Relativistic QED (Martin Könenberg, Oliver Matte, and Edgardo Stockmeyer) Readership: Mathematicians and mathematical physicists, advanced graduate students and researchers in rigorous many body theory. Keywords:Analysis;Large Coulomb Systems;Stability;Correlation Inequalities;Effective Equations;Quantum Information;Matrix Product States;Quantum Electrodynamics

Author : Subhankar Dhar,Nabanita Das
Publisher : Academic Publishers
Page : 98 pages
File Size : 49,7 Mb
Release : 2015-12-19
Category : Computers
ISBN : 9789383420728

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LARGE SCALE COMPLEX NETWORK ANALYSIS by Subhankar Dhar,Nabanita Das Pdf

Workshop Proceedings, Indian Statistical Institute, Kolkata December 19-20, 2015

Author : Artur Avila,Michael Th. Rassias,Yakov Sinai
Publisher : Springer
Page : 0 pages
File Size : 41,7 Mb
Release : 2023-11-02
Category : Mathematics
ISBN : 3031053338

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Analysis at Large by Artur Avila,Michael Th. Rassias,Yakov Sinai Pdf

​Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékopa-Leindler inequality and sumsets with quasicubes, the fractal uncertainty principle for the Walsh-Fourier transform, the continuous formulation of shallow neural networks as Wasserstein-type gradient flows, logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators, polynomial equations in subgroups, trace sets of restricted continued fraction semigroups, exponential sums, twisted multiplicativity and moments, the ternary Goldbach problem, as well as the multiplicative group generated by two primes in Z/QZ. It is hoped that this volume will inspire further research in the areas of analysis treated in this book and also provide direction and guidance for upcoming developments in this essential subject of mathematics.

Author : Robert John Rades
Publisher : Unknown
Page : 232 pages
File Size : 44,7 Mb
Release : 1960
Category : Electronic
ISBN : WISC:89089012694

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An Economic Analysis of Large Dairying Operations in Wisconsin by Robert John Rades Pdf

Author : Yingxia Shao,Bin Cui,Lei Chen
Publisher : Springer Nature
Page : 154 pages
File Size : 47,9 Mb
Release : 2020-07-01
Category : Computers
ISBN : 9789811539282

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Large-scale Graph Analysis: System, Algorithm and Optimization by Yingxia Shao,Bin Cui,Lei Chen Pdf

This book introduces readers to a workload-aware methodology for large-scale graph algorithm optimization in graph-computing systems, and proposes several optimization techniques that can enable these systems to handle advanced graph algorithms efficiently. More concretely, it proposes a workload-aware cost model to guide the development of high-performance algorithms. On the basis of the cost model, the book subsequently presents a system-level optimization resulting in a partition-aware graph-computing engine, PAGE. In addition, it presents three efficient and scalable advanced graph algorithms – the subgraph enumeration, cohesive subgraph detection, and graph extraction algorithms. This book offers a valuable reference guide for junior researchers, covering the latest advances in large-scale graph analysis; and for senior researchers, sharing state-of-the-art solutions based on advanced graph algorithms. In addition, all readers will find a workload-aware methodology for designing efficient large-scale graph algorithms.

Author : Jushan Bai,Serena Ng
Publisher : Now Publishers Inc
Page : 90 pages
File Size : 52,7 Mb
Release : 2008
Category : Business & Economics
ISBN : 9781601981448

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Large Dimensional Factor Analysis by Jushan Bai,Serena Ng Pdf

Large Dimensional Factor Analysis provides a survey of the main theoretical results for large dimensional factor models, emphasizing results that have implications for empirical work. The authors focus on the development of the static factor models and on the use of estimated factors in subsequent estimation and inference. Large Dimensional Factor Analysis discusses how to determine the number of factors, how to conduct inference when estimated factors are used in regressions, how to assess the adequacy pf observed variables as proxies for latent factors, how to exploit the estimated factors to test unit root tests and common trends, and how to estimate panel cointegration models.

Author : Alan Weiss,Adam Shwartz
Publisher : Routledge
Page : 556 pages
File Size : 44,6 Mb
Release : 2019-03-07
Category : Computers
ISBN : 9780429846878

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Large Deviations For Performance Analysis by Alan Weiss,Adam Shwartz Pdf

Originally published in 1995, Large Deviations for Performance Analysis consists of two synergistic parts. The first half develops the theory of large deviations from the beginning, through recent results on the theory for processes with boundaries, keeping to a very narrow path: continuous-time, discrete-state processes. By developing only what is needed for the applications, the theory is kept to a manageable level, both in terms of length and in terms of difficulty. Within its scope, the treatment is detailed, comprehensive and self-contained. As the book shows, there are sufficiently many interesting applications of jump Markov processes to warrant a special treatment. The second half is a collection of applications developed at Bell Laboratories. The applications cover large areas of the theory of communication networks: circuit switched transmission, packet transmission, multiple access channels, and the M/M/1 queue. Aspects of parallel computation are covered as well including, basics of job allocation, rollback-based parallel simulation, assorted priority queueing models that might be used in performance models of various computer architectures, and asymptotic coupling of processors. These applications are thoroughly analysed using the tools developed in the first half of the book.