Download or read book Convexity and Concentration written by Eric Carlen and published by Springer. This book was released on 2017-04-20 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.
Download or read book Harmonic Analysis and Convexity written by Alexander Koldobsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
Download or read book Convex Geometric Analysis written by Keith M. Ball and published by Cambridge University Press. This book was released on 1999-01-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles on classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis, first published in 1999.
Download or read book Geometry of Isotropic Convex Bodies written by Silouanos Brazitikos and published by American Mathematical Soc.. This book was released on 2014-04-24 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalization, the answer to many fundamental questions should be independent of the dimension. The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.
Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Course in Convexity written by Alexander Barvinok and published by American Mathematical Soc.. This book was released on 2002-11-19 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new perspective.
Download or read book Concentration Inequalities written by Stéphane Boucheron and published by Oxford University Press. This book was released on 2013-02-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.
Download or read book The Concentration of Measure Phenomenon written by Michel Ledoux and published by American Mathematical Soc.. This book was released on 2001 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. This book offers the basic techniques and examples of the concentration of measure phenomenon. It presents concentration functions and inequalities, isoperimetric and functional examples, spectrum and topological applications and product measures.
Download or read book Depositional Sedimentary Environments written by H.-E. Reineck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written with the aim of compiling from modern environments information that can be useful in the reconstruction of ancient environments. It is intended for all those interested in recognizing depositional environments. The study of sediments includes investigations of various aspects of sediments. This needs a study by standard methods. Methods of study have not been included, as many textbooks exist on the subject. However, the importance of various results obtained from such investigations has been discussed, as far as these results can be helpful in environ mental reconstruction. Special attention is given to information that has accumulated during the last decades on the mode of genesis of various sedimentary features and their distribution in present-day environments. As far as possible, existing terminology has been used. How ever, in several cases new simple groupings and classifications have been proposed. In making classification, generally, the form and shape of the features have been considered, so that they can be applied easily to ancient sediments. At the same time, the genesis of such features has been noted, and genetic names and their characteristics have been given for detailed work. The subject is so vast that several primary sedimentary features that have no direct bearing on environmental interpretation have been omitted. The subject is vast, and numerous publications are available.
Download or read book Tax Progression in OECD Countries written by Christian Seidl and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that performs international and intertemporal comparisons of uniform tax progression with empirical data. While conventional measures of tax progression suffer from serious disadvantages for empirical analyses, this book extends uniform measures to progression comparisons of countries with different income distributions. Tax progression is analyzed in terms of Lorenz curve and Suits curve equivalents of net incomes and taxes. The authors derive six distinct definitions of the relation "is more progressive than", which are then utilized for an empirical analysis of 13 countries included in the Luxembourg Income Study (LIS). In two thirds of all international comparisons of tax progression, the authors report a clear ranking of the respective countries in terms of progression dominance. Tax based definitions of greater progressivity perform best. These observations are yet reinforced by statistical tests. The book also provides an account of the institutional background of the involved countries in order to facilitate the interpretation of the data. Moreover, the authors conduct intertemporal comparisons of tax progression for selected countries and perform a sensitivity analysis with respect to the parameterization of the equivalence scale.
Download or read book Bulletin de L Institut International de Statistique written by and published by . This book was released on 1973 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Crystal Growth of Si Ingots for Solar Cells Using Cast Furnaces written by Kazuo Nakajima and published by Elsevier. This book was released on 2019-10-07 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal Growth of Si Ingots for Solar Cells Using Cast Furnaces is the first book written to both comprehensively describe these concepts and technologies and compare the strengths and weaknesses of various techniques. Readers will learn about the basic growth and characterization of Si crystals, including sections on the history of cast methods for Si ingots for solar cells. Methods discussed include the dendrite cast method, as well as other significant technologies, including the high-performance (HP) cast and mono-like cast methods. These concepts, growth mechanisms, growth technologies, and the problems that still need to be solved are all included in this comprehensive volume. - Covers the concept of crystal growth, providing an understanding of each growth method - Discusses the quality of Si ingot, mainly from the viewpoint of crystal defects and their control - Reviews fundamental characterization concepts to discern the quality of ingots and wafers - Discusses concepts and technologies to establish a low-temperature region in a Si melt using the NOC method in order to obtain a uniform and large Si single ingot with low stress
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Download or read book Lectures on Discrete Geometry written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.
Download or read book Models and Measurement of Welfare and Inequality written by Wolfgang Eichhorn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1021 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature on economic problems connected with measuring and modelling of welfare and inequality has grown rapidly within the last decade. Since this literature is scattered throughout a great number of journals on economics, economic theory, econometrics, and statisties, it is difficult to get an adequate picture of the present state of the art. Therefore books should appear from time to time, which offer a representative cross-section of the latest results of research on: the subject. This book offers such material. It contains 54 articles by 84 authors from four of the five continents. Each paper has been reviewed by two referees. As a conse quence, the contributions of this book are revised versions, or, in many cases, revised revisions of the original papers. The book is divided into four parts. Part I: Measurement of Inequality and Poverty This part contains eleven papers on theory and empirical applications of inequa lity and/or poverty measures. Two contributions deal with, among other things, experimental findings on questions concerning the acceptance of distributional axioms. Part II: Taxation and Redistribution Distributional or, rather, redistributional aspects play an important role in Part II. The topics of the 14 papers included in this part range from tax progressivity and redistribution, allocative consequences of splitting under income taxation, and connections between income tax and cost-of-living indices to merit goods and welfarism as well as to welfare aspects of tax reforms.
