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Nonlinear Dynamics in Equilibrium Models

Nonlinear Dynamics in Equilibrium Models
Author: John Stachurski
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2012-01-25
Genre: Business & Economics
ISBN: 3642223974

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Optimal growth theory studies the problem of efficient resource allocation over time, a fundamental concern of economic research. Since the 1970s, the techniques of nonlinear dynamical systems have become a vital tool in optimal growth theory, illuminating dynamics and demonstrating the possibility of endogenous economic fluctuations. Kazuo Nishimura's seminal contributions on business cycles, chaotic equilibria and indeterminacy have been central to this development, transforming our understanding of economic growth, cycles, and the relationship between them. The subjects of Kazuo's analysis remain of fundamental importance to modern economic theory. This book collects his major contributions in a single volume. Kazuo Nishimura has been recognized for his contributions to economic theory on many occasions, being elected fellow of the Econometric Society and serving as an editor of several major journals. Chapter “Introduction” is available open access under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License via link.springer.com.


Price Dynamics in Equilibrium Models

Price Dynamics in Equilibrium Models
Author: Jan Tuinstra
Publisher: Springer Science & Business Media
Total Pages: 243
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461516617

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A long-standing unsolved problem in economic theory is how economic equilibria are attained. Price Dynamics in Equilibrium Models: The Search for Equilibrium and the Emergence of Endogenous Fluctuations considers a number of adjustment processes in different economic models and investigates their dynamical behaviour. Two important themes arising in this context are `bounded rationality' and `nonlinear dynamics'. Important sub-themes of the book are the following: how do boundedly rational agents interact with their environment and does this interaction in some sense lead to rational outcomes (which may or may not correspond to equilibria)? The second sub-theme deals with the consequences of the nonlinear dynamical nature of many adjustment processes. The results presented in this volume indicate that endogenous fluctuations are the rule rather than the exception in the search for equilibrium. The book uses the theory of nonlinear dynamics to analyze the dynamics of the different economic models. Due to the complexity of most of the models, an important role is played by computational methods. In particular, at regular instances the models are analyzed by numerical simulations and some computer-assisted proofs are provided. It also covers a wide range of dynamical models from economic theory. Most of these models merge the theory of nonlinear economic dynamics with the theory of bounded rationality. The book is written for anyone with an interest in economic theory in general and bounded rationality and endogenous fluctuations in particular. It is entirely self-contained and accessible to readers with only a limited knowledge of economic theory.


Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems

Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems
Author: Masuo Suzuki
Publisher: Springer Science & Business Media
Total Pages: 251
Release: 2012-12-06
Genre: Science
ISBN: 3642831540

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Speech by Toyosaburo Taniguchi Dr. Kubo, Chairman, Distinguished Guests, and Friends, I am very happy, pleased and honored to be here this evening with so many distinguished guests, friends, and scholars from within this country and from different parts of the world. The Taniguchi Foundation wishes to extend a warm and sincere welcome to the many participants of the Ninth International Symposium on the Theory of Condensed Matter, which se ries was inaugurated eight years ago through the strenuous efforts of Dr. Ryogo Kubo, who is gracing us today with his presence. We are deeply indebted to Dr. Kubo, Dr. Suzuki, and their associates, who havE' spent an enormous amount of time and effort to make this particular symposium possible. We are convinced that the foundation should not be considered as what makes our symposium a success. The success is entirely due, I feel, to the continuous efforts of the Organizing Committee and of all those who have lent their support to this program. In this sense, your words of praise about the symposium, if any, should be directed to all of them. So far, I have met in person a total of 62 participants in this Division from 12 countries: Argentina, Belgium, Canada, Denmark, the Federal Republic of Germany, France, Ireland, Israel, Rumania, Switzerland, the United Kingdom, and the United States of America, with 133 participants from Japan. Those friends I have been privileged to make, I shall always treasure.


Introduction to Vortex Filaments in Equilibrium

Introduction to Vortex Filaments in Equilibrium
Author: Timothy D. Andersen
Publisher: Springer
Total Pages: 146
Release: 2014-10-09
Genre: Computers
ISBN: 1493919385

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This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.


Advances in Equilibrium Theory

Advances in Equilibrium Theory
Author: C.D. Aliprantis
Publisher: Springer Science & Business Media
Total Pages: 240
Release: 2013-03-14
Genre: Business & Economics
ISBN: 3642516025

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Tables for the Energy and Photon Distribution in Equilibrium Radiation Spectra

Tables for the Energy and Photon Distribution in Equilibrium Radiation Spectra
Author: P. A. Apanasevich
Publisher: Elsevier
Total Pages: 263
Release: 2013-10-22
Genre: Science
ISBN: 1483214605

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Tables for the Energy and Photon Distribution in Equilibrium Radiation Spectra covers a collection of tables used for calculating the energy and photon distribution in equilibrium radiation. The book discusses the main characteristics of radiation; the equilibrium between radiation and matter using Kirchhoff's laws; the energy and photon distribution in the spectrum of equilibrium radiation; and the energy and photon distribution of equilibrium radiation over finite frequency intervals. The text then describes heat radiation emitted by real bodies; heat radiation in the space between bodies at different temperatures or in a medium in the absence of total thermodynamic equilibrium; the use of thermal radiation for investigating the properties of a substance; and optical pyrometry. Tables for each of the above mentioned topics are illustrated. Each table is preceded by a description and rules for using it in practical calculations. Numerical values of the conversion coefficients for the different spectral scales and for conversion from densities to fluxes are also given. Those involved in physics, illumination and heat engineering, meteorology, and astrophysics will find the book useful.


Problems in Equilibrium Theory

Problems in Equilibrium Theory
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662032333

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This is the first book to teach the basic methods of proof and problem solving in General Equilibrium Theory at graduate level. The problems cover the entire spectrum of difficulty: some are routine, while others require a good grasp of the material involved, and some are even challenging. In searching for the basic required techniques, students will discover a wealth of new material, and are encouraged to arrive at solutions different from the ones presented in the book. Complete solutions to two hundred problems are provided.