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1 Bischi, Gian Italo Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling I10241 2016 eBook  
2 Chen, Jing The Unity of Science and Economics I10126 2016 eBook  
3 Pokrovskii, Vladimir N Econodynamics I10008 2018 eBook  
4 Chui, Charles K Kalman Filtering I09935 2017 eBook  
5 Rahimi Tabar, M. Reza Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems I08774 2019 eBook  
6 Akhmet, Marat Replication of Chaos in Neural Networks, Economics and Physics I08638 2016 eBook  
7 Rangarajan, Govindan Processes with Long-Range Correlations I11491 2003 eBook  
8 Voit, Johannes The Statistical Mechanics of Financial Markets I11253 2001 eBook  
9 Schulz, Michael Statistical Physics and Economics I10941 2003 eBook  
10 Wille, Luc T New Directions in Statistical Physics I10696 2004 eBook  
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TitleQualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling : Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17-19 September 2015
Author(s)Bischi, Gian Italo;Panchuk, Anastasiia;Radi, Davide
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXVI, 327 p. 171 illus., 41 illus. in color : online resource
Abstract NoteThe book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 ???The EU in the new economic complex geography: models, tools and policy evaluation???. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling. Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems. The book is written for Ph.D. and master???s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics
ISBN,Price9783319332765
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Data-driven Science, Modeling and Theory Building 3. EBOOK 4. EBOOK - SPRINGER 5. Economic geography 6. ECONOMIC THEORY 7. Economic Theory/Quantitative Economics/Mathematical Methods 8. ECONOPHYSICS 9. Regional economics 10. Regional/Spatial Science 11. Sociophysics 12. Spatial economics 13. STATISTICAL PHYSICS
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TitleThe Unity of Science and Economics : A New Foundation of Economic Theory
Author(s)Chen, Jing
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2016.
DescriptionXVI, 136 p : online resource
Abstract NoteThis book presents a new economic theory developed from physical and biological principles. It explains how technology, social systems and economic values are intimately related to resources. Many people have recognized that mainstream (neoclassical) economic theories are not consistent with physical laws and often not consistent with empirical patterns, but most feel that economic activities are too complex to be described by a simple and coherent mathematical theory. While social systems are indeed complex, all life systems, including social systems, satisfy two principles. First, all systems need to extract resources from the external environment to compensate for their consumption. Second, for a system to be viable, the amount of resource extraction has to be no less than the level of consumption. From these two principles, we derive a quantitative theory of major factors in economic activities, such as fixed cost, variable cost, discount rate, uncertainty and duration. The mathematical theory enables us to systematically measure the effectiveness of different policies and institutional structures at varying levels of resource abundance and cost. The theory presented in this book shows that there do not exist universally optimal policies or institutional structures. Instead, the impacts of different policies or social structures have to be measured within the context of existing levels of resource abundance. As the physical costs of extracting resources rise steadily, many policy assumptions adopted in mainstream economic theories, and workable in times of cheap and abundant energy supplies and other resources, need to be reconsidered. In this rapidly changing world, the theory presented here provides a solid foundation for examining the long-term impacts of today's policy decisions
ISBN,Price9781493934669
Keyword(s)1. Data-driven Science, Modeling and Theory Building 2. EBOOK 3. EBOOK - SPRINGER 4. ECONOMIC THEORY 5. Economic Theory/Quantitative Economics/Mathematical Methods 6. ECONOPHYSICS 7. Energy and state 8. Energy policy 9. Energy Policy, Economics and Management 10. Environmental economics 11. Sociophysics 12. Sustainable development 13. THERMODYNAMICS
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TitleEconodynamics : The Theory of Social Production
Author(s)Pokrovskii, Vladimir N
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXIX, 306 p. 56 illus., 1 illus. in color : online resource
Abstract NoteThis book, now in its third edition, explores how human populations grow, based on their creative abilities.?? To reconsider the theory of economic growth from a physicist's perspective, the book analyses the concepts of value and utility and their relationship to thermodynamic concepts. This approach allows the author to include characteristics of technology in descriptions of development and to formulate a phenomenological (macroeconomic, no-price fluctuations are discussed) theory of production as a set of evolutionary equations in one-sector and multi-sector approximations. The theory is proved to be useful for describing both national economies and global production in ancient times. This monograph presents the topics in a compact and consistent manner and can be used by students with a background in physics and other natural sciences who wish to specialize in economics. It explains how the growth of production is connected with advances in technology, consumption of labour and energy and makes it possible to analyse past and present social production systems and to build scripts of future progress. The book is of interest to energy specialists engaged in planning and analyzing the production and consumption of energy carriers, and to economists wanting to know how energy and technology affect economic growth. This third edition has been substantially revised and three brand new chapters have been added. Chapter 8 illustrates the robustness of the theory with the aid of statistical historical data from the Russian economy, while Chapter 12 is devoted to a reconstruction of the global production activity in ancient times. Chapter 13 discusses the principles of the organization of social production
ISBN,Price9783319720746
Keyword(s)1. Data-driven Science, Modeling and Theory Building 2. EBOOK 3. EBOOK - SPRINGER 4. Economic growth 5. ECONOMIC THEORY 6. Economic Theory/Quantitative Economics/Mathematical Methods 7. ECONOPHYSICS 8. Sociophysics 9. THERMODYNAMICS
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TitleKalman Filtering : with Real-Time Applications
Author(s)Chui, Charles K;Chen, Guanrong
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXVIII, 247 p. 34 illus : online resource
Abstract NoteThis new edition presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method consisting of a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering for time-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. Most filtering algorithms are illustrated by using simplified radar tracking examples. The style of the book is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with a minimum knowledge of linear algebra, probability theory, and system engineering. Over 100 exercises and problems with solutions help deepen the knowledge. This new edition has a new chapter on filtering communication networks and data processing, together with new exercises and new real-time applications
ISBN,Price9783319476124
Keyword(s)1. APPLIED MATHEMATICS 2. ARTIFICIAL INTELLIGENCE 3. Communications Engineering, Networks 4. EBOOK 5. EBOOK - SPRINGER 6. ECONOMIC THEORY 7. Economic Theory/Quantitative Economics/Mathematical Methods 8. ELECTRICAL ENGINEERING 9. ENGINEERING MATHEMATICS 10. Mathematical and Computational Engineering 11. Mathematical Methods in Physics 12. Numerical and Computational Physics, Simulation 13. PHYSICS
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TitleAnalysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems : Using the Methods of Stochastic Processes
Author(s)Rahimi Tabar, M. Reza
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionXVIII, 280 p. 41 illus., 22 illus. in color : online resource
Abstract NoteThis book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation? Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data. The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results. The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations. The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements
ISBN,Price9783030184728
Keyword(s)1. COMPLEX SYSTEMS 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ECONOMIC THEORY 8. Economic Theory/Quantitative Economics/Mathematical Methods 9. Neurosciences 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. SYSTEM THEORY
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TitleReplication of Chaos in Neural Networks, Economics and Physics
Author(s)Akhmet, Marat;Fen, Mehmet Onur
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2016.
DescriptionXV, 457 p. 141 illus., 133 illus. in color : online resource
Abstract NoteThis book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics
ISBN,Price9783662475003
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. BIOMATHEMATICS 3. Difference and Functional Equations 4. DIFFERENCE EQUATIONS 5. EBOOK 6. EBOOK - SPRINGER 7. ECONOMIC THEORY 8. Economic Theory/Quantitative Economics/Mathematical Methods 9. FUNCTIONAL EQUATIONS 10. Mathematical and Computational Biology 11. MECHANICS 12. Mechanics, Applied 13. STATISTICAL PHYSICS 14. Theoretical and Applied Mechanics
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TitleProcesses with Long-Range Correlations : Theory and Applications
Author(s)Rangarajan, Govindan;Ding, Mingzhou
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2003.
DescriptionXVIII, 398 p : online resource
Abstract NoteProcesses with long range correlations occur in a wide variety of fields ranging from physics and biology to economics and finance. This book, suitable for both graduate students and specialists, brings the reader up to date on this rapidly developing field. A distinguished group of experts have been brought together to provide a comprehensive and well-balanced account of basic notions and recent developments. The book is divided into two parts. The first part deals with theoretical developments in the area. The second part comprises chapters dealing primarily with three major areas of application: anomalous diffusion, economics and finance, and biology (especially neuroscience)
ISBN,Price9783540448327
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. ECONOMIC THEORY 6. Economic Theory/Quantitative Economics/Mathematical Methods 7. NEUROBIOLOGY 8. Neurosciences 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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TitleThe Statistical Mechanics of Financial Markets
Author(s)Voit, Johannes
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2001.
DescriptionXII, 220 p. 22 illus : online resource
Abstract NoteFrom the reviews - "Provides an excellent introduction for physicists interested in the statistical properties of financial markets. Appropriately early in the book the basic financial terms such as shorts, limit orders, puts, calls, and other terms are clearly defined. Examples, often with graphs, augment the reader???s understanding of what may be a plethora of new terms and ideas??? [This is] an excellent starting point for the physicist interested in the subject. Some of the book???s strongest features are its careful definitions, it detailed examples, and the connection it establishes to physical systems." PHYSICS TODAY, August 2002 "This book is excellent at illustrating the similarities of financial markets with other non-equilibrium physical systems. [...] In summary, a very good book that offers more than just qualitative comparisons of physics and finance." (www.quantnotes.com) This textbook describes parallels between statistical physics and finance - both those established in the 100-year-long interaction between these disciplines, as well as new research results on capital markets. The random walk, well known in physics, is also the basic model in finance, upon which are built, for example, the Black-Scholes theory of option pricing and hedging, or methods of risk control using diversification. Here the underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated. Computer simulations of interacting agent models of financial markets provide insights into the origins of asset price fluctuations. Stock exchange crashes can be modelled in ways analogous to phase transitions and earthquakes. These models allow for predictions. This study edition has been updated with a presentation of several new and significant developments, e.g. the dynamics of volatility smiles and implied volatility surfaces, path integral approaches to option pricing, a new and accurate simulation scheme for options, multifractals, the application of nonextensive statistical mechanics to financial markets, and the minority game
ISBN,Price9783662044230
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. ECONOMIC THEORY 6. Economic Theory/Quantitative Economics/Mathematical Methods 7. GAME THEORY 8. Game Theory, Economics, Social and Behav. Sciences 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. Statistics for Business, Management, Economics, Finance, Insurance 12. Statistics??
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TitleStatistical Physics and Economics : Concepts, Tools, and Applications
Author(s)Schulz, Michael
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2003.
DescriptionXI, 246 p. 1 illus : online resource
Abstract NoteEconophysics describes phenomena in the development and dynamics of economic systems by using of a physicMly motivated methodology. First of all, Mandelbrot had analyzed economic and social relations in terms of modern statistical physics. Since then, the number of publications related to this topic has increased irresistible greatly. To be fair to this historical evolution, I point out, however, that physical and economic concepts had already been connected long ago. Terms such as work, power, and efficiency factor have similar physical and economic meanings. Many physical discoveries for instance in thermodynamics, optics, solid state physics, or chemical physics correspond to a parallel evolution in the fields of technology and economics. The term econophysics, or social physics, also is not a recent idea. For ex ample, in the small book Sozialphysik published in 1925 [221], R. L??mmel demonstrates how social and economic problems can be understood by applying simple physical relations. Of course, the content of early social physics and the topics of modern econophysics are widely different. Nevertheless, the basic idea (i.e., the description and the explanation of economic phenomena in terms of a physical theory) did not change over the whole time. At this point, an important warning should be pronounced
ISBN,Price9780387217130
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. ECONOMIC THEORY 6. Economic Theory/Quantitative Economics/Mathematical Methods 7. Economics, Mathematical?? 8. GAME THEORY 9. Game Theory, Economics, Social and Behav. Sciences 10. Quantitative Finance 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. Statistics for Business, Management, Economics, Finance, Insurance 14. Statistics??
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TitleNew Directions in Statistical Physics : Econophysics, Bioinformatics, and Pattern Recognition
Author(s)Wille, Luc T
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2004.
DescriptionXVIII, 363 p. 181 illus., 22 illus. in color : online resource
Abstract NoteStatistical physics addresses the study and understanding of systems with many degrees of freedom. As such it has a rich and varied history, with applications to thermodynamics, magnetic phase transitions, and order/disorder transformations, to name just a few. However, the tools of statistical physics can be profitably used to investigate any system with a large number of components. Thus, recent years have seen these methods applied in many unexpected directions, three of which are the main focus of this volume. These applications have been remarkably successful and have enriched the financial, biological, and engineering literature. Although reported in the physics literature, the results tend to be scattered and the underlying unity of the field overlooked. This book provides a unique insight into the latest breakthroughs in a consistent manner, at a level accessible to undergraduates, yet with enough attention to the theory and computation to satisfy the professional researcher
ISBN,Price9783662089682
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOPHYSICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ECONOMIC THEORY 9. Economic Theory/Quantitative Economics/Mathematical Methods 10. Image Processing and Computer Vision 11. MATHEMATICAL PHYSICS 12. OPTICAL DATA PROCESSING 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems 15. Theoretical, Mathematical and Computational Physics
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