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Author: Michael Ruzhansky
Publisher: Springer
ISBN: 303002895X
Category : Mathematics
Languages : en
Pages : 579
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Book Description
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
Author: Michael Ruzhansky
Publisher: Springer
ISBN: 303002895X
Category : Mathematics
Languages : en
Pages : 579
Get Book Here
Book Description
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
Author: Guillaume Vallet
Publisher: Edward Elgar Publishing
ISBN: 1788972651
Category : Business & Economics
Languages : en
Pages : 359
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Book Description
Inequalities and the Progressive Era features contributors from all corners of the world, each exploring a different type of inequality during the ‘Progressive Era’ (1890s-1930s). Though this era is most associated with the United States, it corresponds to a historical period in which profound changes and progress are realized or expected all over the globe.
Author: D. H. Ryan
Publisher: World Scientific
ISBN: 9789810208851
Category : Science
Languages : en
Pages : 348
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Book Description
Spin glasses exhibit random magnetic ordering as a result of competing interactions such as exchange or anisotropy. While they are easily prepared, and many of their general properties have been described, a detailed understanding of their behaviour is still lacking after more than 30 years of study. This book reviews the progress that has been made over the last five years on several aspects of the spin glass problem. Unlike several recent books, the authors concentrate here on experimental results, limiting the theoretical discussion to efforts most directly related to such work. The field of spin glasses, or more generally random magnets, continues to attract the interest of researchers worldwide, and the contributions in this book clearly show that this will be the case for many years to come.
Author: Evariste Giné
Publisher: Birkhäuser
ISBN: 3034880693
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.
Author: Rémi Genevey
Publisher: The Energy and Resources Institute (TERI)
ISBN: 8179935302
Category : Architecture
Languages : en
Pages : 274
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Book Description
The reduction of inequalities within and between countries stands as a policy goal, and deserves to take centre stage in the design of the Sustainable Development Goals agreed during the Rio+20 Summit in 2012.The 2013 edition of A Planet for Life represents a unique international initiative grounded on conceptual and strategic thinking, and – most importantly – empirical experiments, conducted on five continents and touching on multiple realities. This unprecedented collection of works proposes a solid empirical approach, rather than an ideological one, to inform future debate.The case studies collected in this volume demonstrate the complexity of the new systems required to accommodate each country's specific economic, political and cultural realities. These systems combine technical, financial, legal, fiscal and organizational elements with a great deal of applied expertise, and are articulated within a clear, well-understood, growth- and job-generating development strategy.Inequality reduction does not occur by decree; neither does it automatically arise through economic growth, nor through policies that equalize incomes downward via ill conceived fiscal policies. Inequality reduction involves a collaborative effort that must motivate all concerned parties, one that constitutes a genuine political and social innovation, and one that often runs counter to prevailing political and economic forces.
Author: Raymond F. Bishop
Publisher: World Scientific
ISBN: 9789810243180
Category : Science
Languages : en
Pages : 520
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Book Description
Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Indeed, its successes and importance were vividly illustrated prior to the conference by the sharing of the 1998 Nobel Prizes in both Physics and Chemistry by three many-body theorists. Two of those Nobel laureates, Walter Kohn and Bob Laughlin, delivered invited lectures at this meeting, the tenth in the series of International Conferences on Recent Progress in Many-Body Theories. This series is universally recognized as being the premier series of meetings on this subject, and its proceedings have always summarized the current state of the art through the lectures of its leading practitioners. The present volume is no exception. A major aim of this conference series has been to foster the exchange of ideas between physicists working in all the diverse fields of application of quantum many-body theory. These include nuclear and subnuclear physics, quantum fluids, strongly correlated electronic systems, and low-dimensional condensed-matter systems and materials. All of these fields and others are represented in the present volume. Other topical themes covered include density functional theory and its applications to nuclear and electronic systems, quantum dots and chaos, and trapped Bose-Einstein condensates. Through this breadth of applications the reader will get a clear illustration of the power of the tools of modern microscopic quantum many-body theory, and their usefulness both in achieving a commonality of approach andunderstanding, and in transferring powerful ideas from one field to another.
Author: Donald Tomaskovic-Devey
Publisher:
ISBN: 0190624426
Category : Business & Economics
Languages : en
Pages : 305
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Book Description
Organizations are the dominant social invention for generating resources and distributing them. Relational Inequalities develops a general sociological and organizational analysis of inequality, exploring the processes that generate inequalities in access to respect, resources, and rewards. Framing their analysis through a relational account of social and economic life, Donald Tomaskovic-Devey and Dustin Avent-Holt explain how resources are generated and distributed both within and between organizations. They show that inequalities are produced through generic processes that occur in all social relationships: categorization and their resulting status hierarchies, organizational resource pooling, exploitation, social closure, and claims-making. Drawing on a wide range of case studies, Tomaskovic-Devey and Avent-Holt focus on the workplace as the primary organization for generating inequality and provide a series of global goals to advance both a comparative organizational research model and to challenge troubling inequalities.
Author: Sylvia Walby
Publisher: SAGE
ISBN: 1446202313
Category : Political Science
Languages : en
Pages : 521
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Book Description
How has globalization changed social inequality? Why do Americans die younger than Europeans, despite larger incomes? Is there an alternative to neoliberalism? Who are the champions of social democracy? Why are some countries more violent than others? In this groundbreaking book, Sylvia Walby examines the many changing forms of social inequality and their intersectionalities at both country and global levels. She shows how the contest between different modernities and conceptions of progress shape the present and future. The book re-thinks the nature of economy, polity, civil society and violence. It places globalization and inequalities at the centre of an innovative new understanding of modernity and progress and demonstrates the power of these theoretical reformulations in practice, drawing on global data and in-depth analysis of the US and EU. Walby analyses the tensions between the different forces that are shaping global futures. She examines the regulation and deregulation of employment and welfare; domestic and public gender regimes; secular and religious polities; path dependent trajectories and global political waves; and global inequalities and human rights.
Author: M. Husek
Publisher: Elsevier
ISBN: 0444509801
Category : Mathematics
Languages : en
Pages : 652
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Book Description
The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (including Infinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as: R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.
Author: Walter Gautschi
Publisher: Springer Science & Business Media
ISBN: 1441965947
Category : Mathematics
Languages : en
Pages : 482
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Book Description
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.
