Overview
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.
Full Product Details
Author: Kiyohiro Ikeda ,
Kazuo Murota
Publisher: Springer Verlag, Japan
Imprint: Springer Verlag, Japan
Edition: 2014 ed.
Dimensions:
Width: 15.50cm
, Height: 2.50cm
, Length: 23.50cm
Weight: 6.812kg
ISBN: 9784431542575
ISBN 10: 4431542574
Pages: 313
Publication Date: 26 November 2013
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews: The monograph aims at studying city networks with the aid of bifurcation theory. ... Mathematicians and physicists working in the field of representation theory should find the monograph a good advise for learning the methods and conducting research in their domain of specialization. (Krzysztof Lesniak, zbMATH, Vol. 1286, 2014)
From the reviews: The monograph aims at studying city networks with the aid of bifurcation theory. ... Mathematicians and physicists working in the field of representation theory should find the monograph a good advise for learning the methods and conducting research in their domain of specialization. (Krzysztof Lesniak, zbMATH, Vol. 1286, 2014)
From the reviews: The monograph aims at studying city networks with the aid of bifurcation theory. ... Mathematicians and physicists working in the field of representation theory should find the monograph a good advise for learning the methods and conducting research in their domain of specialization. (Krzysztof Lesniak, zbMATH, Vol. 1286, 2014)
