Optimal Transport Methods In Economics

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Optimal Transport Methods in Economics

Author : Alfred Galichon
Publisher : Princeton University Press
ISBN 13 : 0691183465
Total Pages : 184 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Optimal Transport Methods in Economics by : Alfred Galichon

Download or read book Optimal Transport Methods in Economics written by Alfred Galichon and published by Princeton University Press. This book was released on 2018-08-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition. The first introduction to the subject written especially for economists Includes programming examples Features numerous exercises throughout Ideal for students and researchers alike

Optimal Transport Methods in Economics

Author : Alfred Galichon
Publisher : Princeton University Press
ISBN 13 : 1400883598
Total Pages : 185 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Optimal Transport Methods in Economics by : Alfred Galichon

Download or read book Optimal Transport Methods in Economics written by Alfred Galichon and published by Princeton University Press. This book was released on 2016-08-23 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition. The first introduction to the subject written especially for economists Includes programming examples Features numerous exercises throughout Ideal for students and researchers alike

Optimal Transport Methods in Economics

Author : Alfred Galichon
Publisher :
ISBN 13 : 9780691172767
Total Pages : 184 pages
Book Rating : 4.1/5 (727 download)

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Book Synopsis Optimal Transport Methods in Economics by : Alfred Galichon

Download or read book Optimal Transport Methods in Economics written by Alfred Galichon and published by . This book was released on 2016-08-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Optimal Transport Methods in Economics" is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, "Optimal Transport Methods in Economics" also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition.The first introduction to the subject written especially for economistsIncludes programming examplesFeatures numerous exercises throughoutIdeal for students and researchers alike

Optimal Transport for Applied Mathematicians

Author : Filippo Santambrogio
Publisher : Birkhäuser
ISBN 13 : 3319208284
Total Pages : 376 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Optimal Transport for Applied Mathematicians by : Filippo Santambrogio

Download or read book Optimal Transport for Applied Mathematicians written by Filippo Santambrogio and published by Birkhäuser. This book was released on 2015-10-17 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

Computational Optimal Transport

Author : Gabriel Peyre
Publisher : Foundations and Trends(r) in M
ISBN 13 : 9781680835502
Total Pages : 272 pages
Book Rating : 4.8/5 (355 download)

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Book Synopsis Computational Optimal Transport by : Gabriel Peyre

Download or read book Computational Optimal Transport written by Gabriel Peyre and published by Foundations and Trends(r) in M. This book was released on 2019-02-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Optimal Transport (OT) is to define geometric tools that are useful to compare probability distributions. Their use dates back to 1781. Recent years have witnessed a new revolution in the spread of OT, thanks to the emergence of approximate solvers that can scale to sizes and dimensions that are relevant to data sciences. Thanks to this newfound scalability, OT is being increasingly used to unlock various problems in imaging sciences (such as color or texture processing), computer vision and graphics (for shape manipulation) or machine learning (for regression, classification and density fitting). This monograph reviews OT with a bias toward numerical methods and their applications in data sciences, and sheds lights on the theoretical properties of OT that make it particularly useful for some of these applications. Computational Optimal Transport presents an overview of the main theoretical insights that support the practical effectiveness of OT before explaining how to turn these insights into fast computational schemes. Written for readers at all levels, the authors provide descriptions of foundational theory at two-levels. Generally accessible to all readers, more advanced readers can read the specially identified more general mathematical expositions of optimal transport tailored for discrete measures. Furthermore, several chapters deal with the interplay between continuous and discrete measures, and are thus targeting a more mathematically-inclined audience. This monograph will be a valuable reference for researchers and students wishing to get a thorough understanding of Computational Optimal Transport, a mathematical gem at the interface of probability, analysis and optimization.

Credible Asset Allocation, Optimal Transport Methods, and Related Topics

Author : Songsak Sriboonchitta
Publisher : Springer Nature
ISBN 13 : 3030972739
Total Pages : 762 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Credible Asset Allocation, Optimal Transport Methods, and Related Topics by : Songsak Sriboonchitta

Download or read book Credible Asset Allocation, Optimal Transport Methods, and Related Topics written by Songsak Sriboonchitta and published by Springer Nature. This book was released on 2022-07-29 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes state-of-the-art economic ideas and how these ideas can be (and are) used to make economic decision (in particular, to optimally allocate assets) and to gauge the results of different economic decisions (in particular, by using optimal transport methods). Special emphasis is paid to machine learning techniques (including deep learning) and to different aspects of quantum econometrics—when quantum physics and quantum computing models are techniques are applied to study economic phenomena. Applications range from more traditional economic areas to more non-traditional topics such as economic aspects of tourism, cryptocurrencies, telecommunication infrastructure, and pandemic. This book helps student to learn new techniques, practitioners to become better knowledgeable of the state-of-the-art econometric techniques, and researchers to further develop these important research directions

Applications of Optimal Transport to Economics and Related Topics

Author : Vladik Kreinovich
Publisher : Springer
ISBN 13 : 9783031677694
Total Pages : 0 pages
Book Rating : 4.6/5 (776 download)

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Book Synopsis Applications of Optimal Transport to Economics and Related Topics by : Vladik Kreinovich

Download or read book Applications of Optimal Transport to Economics and Related Topics written by Vladik Kreinovich and published by Springer. This book was released on 2024-10-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Often, when a new successful data processing techniques appears in one of the application areas, it then proves to be useful in many other areas. This was the case of optimal transportation techniques: these techniques were first developed for transportation problems, but now they have been shown to be successful in many statistical applications, including applications to economics. These techniques are the main focus of this book, but this book also contain papers that use other techniques, ranging from more traditional statistical approaches to more recent ones such as stochastic frontier methods, multivariable quantiles, random forest, and deep learning. Applications include all aspects of economics, from production (including agricultural) to trade (including international) and finances, with relation to issues of crime (including computer crime and cyberbullying), demographics, economic freedom, environment, health, and tourism. We hope that this volume will: help practitioners tobecome better knowledgeable of the state-of-the-art econometric techniques, especially optimal transport techniques, and help researchers to further develop these important research directions. We want to thank all the authors for their contributions and all anonymous referees for their thorough analysis and helpful comments. The publication of this volume was partly supported by the Faculty of Economics of the Chiang Mai University, Thailand. Our thanks to the leadership and staff of the Chiang Mai University for providing crucial support. Our special thanks to Prof. Hung T. Nguyen for his valuable advice and constant support.

Optimal Transport

Author : Cédric Villani
Publisher : Springer Science & Business Media
ISBN 13 : 3540710507
Total Pages : 970 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Optimal Transport by : Cédric Villani

Download or read book Optimal Transport written by Cédric Villani and published by Springer Science & Business Media. This book was released on 2008-10-26 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.

Topics in Optimal Transportation

Author : Cédric Villani
Publisher : American Mathematical Soc.
ISBN 13 : 1470467267
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Optimal Transportation by : Cédric Villani

Download or read book Topics in Optimal Transportation written by Cédric Villani and published by American Mathematical Soc.. This book was released on 2021-08-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

A Handbook of Transport Economics

Author : André de Palma
Publisher : Edward Elgar Publishing
ISBN 13 : 0857930877
Total Pages : 929 pages
Book Rating : 4.8/5 (579 download)

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Book Synopsis A Handbook of Transport Economics by : André de Palma

Download or read book A Handbook of Transport Economics written by André de Palma and published by Edward Elgar Publishing. This book was released on 2011-01-01 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This Handbook is a stellar compilation of up-to-date knowledge about the important topics in transport economics. Authors include the very best in the field, and they cover the most important topics for today's research and policy applications. Individual chapters contain sound, readable, well referenced explanations of each topic's history and current status. I cannot think of a better place to start for anyone wanting to become current in the field or in any of its parts.' – Kenneth Small, University of California-Irvine, US Bringing together insights and perspectives from close to 70 of the world's leading experts in the field, this timely Handbook provides an up-to-date guide to the most recent and state-of-the-art advances in transport economics. The comprehensive coverage includes topics such as the relationship between transport and the spatial economy, recent advances in travel demand analysis, the external costs of transport, investment appraisal, pricing, equity issues, competition and regulation, the role of public–private partnerships and the development of policy in local bus services, rail, air and maritime transport. This Handbook is designed both for use on postgraduate and advanced undergraduate courses and as a reference for anyone working in the field. It also complements the textbook Principles of Transport Economics.

The Economics of Urban Transportation

Author : Kenneth A. Small
Publisher : Taylor & Francis
ISBN 13 : 135165344X
Total Pages : 433 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis The Economics of Urban Transportation by : Kenneth A. Small

Download or read book The Economics of Urban Transportation written by Kenneth A. Small and published by Taylor & Francis. This book was released on 2024-06-10 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the seminal textbook The Economics of Urban Transportation incorporates the latest research affecting the design, implementation, pricing, and control of transport systems in towns and cities. The book offers an economic framework for understanding the societal impacts and policy implications of many factors including congestion, traffic safety, climate change, air quality, COVID-19, and newly important developments such as ride-hailing services, electric vehicles, and autonomous vehicles. Rigorous in approach and making use of real-world data and econometric techniques, the third edition features a new chapter on the special challenges of managing the energy that powers transportation systems. It provides fully updated coverage of well-known topics and a rigorous treatment of new ones. All of the basic topics needed to apply economics to urban transportation are included: Forecasting demand for transportation services under various conditions Measuring costs, including those incurred by users and incorporating two new tools to describe congestion in dense urban areas Setting prices under practical constraints Evaluating infrastructure investments Understanding how private and public sectors interact to provide services Written by three of the field’s leading researchers, The Economics of Urban Transportation is essential reading for students, researchers, and practicing professionals in transportation economics, planning, engineering, or related disciplines. With a focus on workable models that can be adapted to future needs, it provides tools for a rapidly changing world.

Optimal Transport

Author : Gershon Wolansky
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110633175
Total Pages : 235 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Optimal Transport by : Gershon Wolansky

Download or read book Optimal Transport written by Gershon Wolansky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief J rgen Appell, W rzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Krak w, Poland Simeon Reich, Haifa, Israel Please submit book proposals to J rgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

Author : Alessio Figalli
Publisher : European Mathematical Society
ISBN 13 : 3985470502
Total Pages : 0 pages
Book Rating : 4.9/5 (854 download)

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Book Synopsis An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows by : Alessio Figalli

Download or read book An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows written by Alessio Figalli and published by European Mathematical Society. This book was released on 2023-05-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.

Transportation Policy and Economic Regulation

Author : John Bitzan
Publisher : Academic Press
ISBN 13 : 0128126213
Total Pages : 380 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Transportation Policy and Economic Regulation by : John Bitzan

Download or read book Transportation Policy and Economic Regulation written by John Bitzan and published by Academic Press. This book was released on 2018-04-14 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transportation Policy and Economic Regulation: Essays in Honor of Theodore Keeler addresses a number of today’s important transportation policy issues, exploring a variety of transportation modes, and examining the policy implications of a number of alternatives. Theodore Keeler had a distinguished career in transportation economics, helping to shape regulatory policies concerning the transportation industries and assessing the appropriateness of various policies. A distinguishing feature of his work is that it always had policy implications. As a tribute to Theodore Keeler, this book examines transportation policy issues across a variety of transportation industries, including aviation, railroads, highways, motor carrier transport, automobiles, urban transit, and ocean shipping. The book evaluates the economic impact and effectiveness of various policies, employing empirical analyses and new estimation techniques, such as Bayesian analysis. The book is designed for transportation professionals and researchers, as well as transportation economics students, providing an in-depth analysis of some of today’s important transportation policy issues. Policy changes established in the last 35-40 years have introduced profound changes in the business environment of the transportation industry. Past policy changes promoted the free market’s role in setting prices and determining service availability. While 21st century policy has focused on a variety of other issues, such as safety, road and air congestion, productivity growth, labor relations and exhaust emission, many still promote the role of competition. In addition to examining various transportation policy issues in the U.S., the book explores some approaches to dealing with transportation issues in different parts of the world. Contemporary transportation policy debates have broadened from their initial focus of primarily examining the merits of reforming economic regulations at national levels, to now examining a variety of issues such as alternative methods of social regulation (such as safety regulation and emission controls), new approaches to changing economic regulations, the potential for reforming international regulations, and the appropriate role for government in transportation. Examines transportation policy developments across a variety of modes, including some international analysis Shows how new policy changes, such as changes in regulation, affect overall transportation system performance Features chapters that use innovative methodologies, such as Bayesian techniques, qualitative analysis, and an attribute-incorporated Malmquist productivity index Examines the ways that policy impacts depend on a variety of factors, and shows how economic tools can be used to gain greater insights into the likely impacts of policy and the desirability of various policies Analyzes transport prices, quality of service, safety, the use of information technology and operating issues, highlighting how transportation enhances quality of life

Handbook of Research Methods and Applications in Transport Economics and Policy

Author : Chris Nash
Publisher : Edward Elgar Publishing
ISBN 13 : 0857937936
Total Pages : 455 pages
Book Rating : 4.8/5 (579 download)

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Book Synopsis Handbook of Research Methods and Applications in Transport Economics and Policy by : Chris Nash

Download or read book Handbook of Research Methods and Applications in Transport Economics and Policy written by Chris Nash and published by Edward Elgar Publishing. This book was released on 2015-09-25 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport economics and policy analysis is a field which has seen major advances in methodology in recent decades, covering issues such as estimating cost functions, modelling of demand, dealing with externalities, examining industry ownership and structure, pricing and investment decisions and measuring economic impacts. This Handbook contains reviews of all these methods, with an emphasis on practical applications, commissioned from an international cast of experts in the field.

The Frenkel-Kontorova Model

Author : Oleg M. Braun
Publisher : Springer Science & Business Media
ISBN 13 : 3662103311
Total Pages : 490 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Frenkel-Kontorova Model by : Oleg M. Braun

Download or read book The Frenkel-Kontorova Model written by Oleg M. Braun and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the basic concepts, methods and applications of nonlinear low-dimensional solid state physics based on the Frenkel--Kontorova model and its generalizations. The book covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, and nonequilibrium dynamics of interacting many-body systems.

Dynamic Optimization, Second Edition

Author : Morton I. Kamien
Publisher : Courier Corporation
ISBN 13 : 0486310280
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Dynamic Optimization, Second Edition by : Morton I. Kamien

Download or read book Dynamic Optimization, Second Edition written by Morton I. Kamien and published by Courier Corporation. This book was released on 2013-04-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.