Bifurcation Theory For Hexagonal Agglomeration In Economic Geography
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Bifurcation Theory For Hexagonal Agglomeration In Economic Geography
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-08
Bifurcation Theory For Hexagonal Agglomeration In Economic Geography written by Kiyohiro Ikeda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Technology & Engineering categories.
This book contributes to an understanding of how bifurcation theory adapts to the analysis of economic geography. It is easily accessible not only to mathematicians and economists, but also to upper-level undergraduate and graduate students who are interested in nonlinear mathematics. The self-organization of hexagonal agglomeration patterns of industrial regions was first predicted by the central place theory in economic geography based on investigations of southern Germany. The emergence of hexagonal agglomeration in economic geography models was envisaged by Krugman. In this book, after a brief introduction of central place theory and new economic geography, the missing link between them is discovered by elucidating the mechanism of the evolution of bifurcating hexagonal patterns. Pattern formation by such bifurcation is a well-studied topic in nonlinear mathematics, and group-theoretic bifurcation analysis is a well-developed theoretical tool. A finite hexagonal lattice is used to express uniformly distributed places, and the symmetry of this lattice is expressed by a finite group. Several mathematical methodologies indispensable for tackling the present problem are gathered in a self-contained manner. The existence of hexagonal distributions is verified by group-theoretic bifurcation analysis, first by applying the so-called equivariant branching lemma and next by solving the bifurcation equation. This book offers a complete guide for the application of group-theoretic bifurcation analysis to economic agglomeration on the hexagonal lattice.
Bifurcation Theory Of Pattern Formation In Economic Geography
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Nature
Release Date : 2024-11-14
Bifurcation Theory Of Pattern Formation In Economic Geography written by Kiyohiro Ikeda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-14 with Mathematics categories.
Dive into the fascinating world of economic agglomerations with this interdisciplinary study, which is perfect for readers in nonlinear mathematics, economic geography, and spatial economics. This book uniquely bridges these fields, employing group-theoretic bifurcation analysis in nonlinear mathematics to establish a robust theoretical foundation for economic geographers and mathematicians alike. Explore innovative models that describe the pattern formation in economic agglomerations through worker migration between regions. Delve into multi-regional formulations of classic economic geography models, applied to various spatial platforms such as line segments, racetracks, squares, and hexagonal lattices. This book, ideal for researchers and practitioners, offers cutting-edge insights and methodologies for understanding the complexities of spatial economic agglomerations.
Imperfect Bifurcation In Structures And Materials
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
Imperfect Bifurcation In Structures And Materials written by Kiyohiro Ikeda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science categories.
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
The Economy As A Complex Spatial System
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Author : Pasquale Commendatore
language : en
Publisher: Springer
Release Date : 2017-09-18
The Economy As A Complex Spatial System written by Pasquale Commendatore and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Science categories.
This book is open access under a CC BY-NC 4.0 license. This collected volume represents the final outcome of the COST Action IS1104 “The EU in the new complex geography of economic systems: models, tools and policy evaluation”. Visualizing the EU as a complex and multi-layered network, the book is organized in three parts, each of them dealing with a different level of analysis: At the macro-level, Part I considers the interactions within large economic systems (regions or countries) involving trade, workers migration, and other factor movements. At the meso-level, Part II discusses interactions within specific but wide-ranging markets, with a focus on financial markets and banking systems. Lastly, at the micro-level, Part III explores the decision-making of single firms, especially in the context of location decisions.
Complexity Emergence And The Evolution Of Scientific Theories Towards A Predictive Epistemology
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Author : Miguel Fuentes
language : en
Publisher: Springer Nature
Release Date : 2025-09-08
Complexity Emergence And The Evolution Of Scientific Theories Towards A Predictive Epistemology written by Miguel Fuentes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-08 with Science categories.
This book offers a unified view of emergence and complexity. It also looks at theory-change as the evolution of the complexity of theories. The author makes use of concrete historical cases analyzed in the tradition of the philosophy of science to test the theses of this work. The first chapter deals with the historical background on emergence. It discusses several contemporary works on the subject, their different points of view, and their contributions to the present investigation. Next, the author details what is now known as complexity science. He covers methodologies of this branch of knowledge, taking into account the amount of information used to describe the system under study. After this foundation, coverage offers a novel quantitative definition of an emergent property. This is based on another notion introduced in this work: the parametric-model complexity. The author discusses several concepts that involve the importance of small variations of parameters that regulate the system and the universal characteristics that these small variations generate. He then studies how this new notion can shed light on some aspects of scientific practice as the criteria for the choice between rival theories and the relationship between the emergence of new technologies and the risk in the appearance of anomalies.
Mathematics Applied To Engineering Modelling And Social Issues
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Author : Frank T. Smith
language : en
Publisher: Springer
Release Date : 2019-03-14
Mathematics Applied To Engineering Modelling And Social Issues written by Frank T. Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Technology & Engineering categories.
This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.
Issues In Logic Probability Combinatorics And Chaos Theory 2013 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-05-01
Issues In Logic Probability Combinatorics And Chaos Theory 2013 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Mathematics categories.
Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Approximation Theory. The editors have built Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Approximation Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Din Mica Cient Fica Y Medidas De Complejidad
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Author : Miguel Fuentes
language : es
Publisher: SADAF
Release Date : 2020-08-02
Din Mica Cient Fica Y Medidas De Complejidad written by Miguel Fuentes and has been published by SADAF this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-02 with Philosophy categories.
La aparición de anomalías como resultado de un abrumador aumento de los datos debido a la irrupción de innovaciones en los instrumentos tecnológicos de detección produce un aumento drástico de la complejidad necesaria para dar cuenta de los fenómenos de cierta parte de la naturaleza conocidos hasta el momento –incluyendo las novedades inesperadas– y coloca a la teoría vigente en una situación de fragilidad en la que deben realizarse ajustes en sus herramientas de cálculo so pena de ser abandonada en favor de otras teorías o modelos que afronten la situación exitosamente y con un coste de menor complejidad. En este trabajo exploramos cómo la dinámica científica y los cambios de teoría están relacionados con la disminución de métricas de complejidad, lo que podría aportar un nuevo modo de comprender la toma de decisiones fundamentadas al interior de una comunidad involucrada en las prácticas científicas.
Stable Economic Agglomeration Patterns In Two Dimensions
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Author : Kiyohiro Ikeda
language : en
Publisher:
Release Date : 2017
Stable Economic Agglomeration Patterns In Two Dimensions written by Kiyohiro Ikeda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
This paper elucidates which agglomeration patterns exist in two-dimensional economic space and how such patterns appear stably. Hexagonal lattices, that with and that without a boundary, are advanced, respectively, as practical and theoretical spatial platforms of economic activities. Agglomeration patterns on these lattices include hexagons in central place theory, but also encompass megalopolis and racetrack-shaped decentralization. As the transport cost decreases, stable economic agglomeration undergoes the formation of the smallest hexagon and transition to patterns with larger market areas, often undergoing downtown decay but finally leading to a megalopolis. Formulas for break points are provided in an economic geography model.
Spatial Agglomeration Dynamics
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Author : Danny Quah
language : en
Publisher:
Release Date : 2002
Spatial Agglomeration Dynamics written by Danny Quah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Convergence (Economics) categories.