The Resource Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, Kiyohiro Ikeda, Kazuo Murota

Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, Kiyohiro Ikeda, Kazuo Murota

Label
Bifurcation Theory for Hexagonal Agglomeration in Economic Geography
Title
Bifurcation Theory for Hexagonal Agglomeration in Economic Geography
Statement of responsibility
Kiyohiro Ikeda, Kazuo Murota
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Ikeda, Kiyohiro
Dewey number
330.90015118
Illustrations
illustrations
Index
index present
LC call number
HF1025
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1955-
http://library.link/vocab/relatedWorkOrContributorName
Murota, Kazuo
Series statement
Springer series in surface sciences
Series volume
53
http://library.link/vocab/subjectName
  • Economic geography
  • Industrial clusters
  • Bifurcation theory
  • BUSINESS & ECONOMICS
  • BUSINESS & ECONOMICS
  • Ingénierie
  • Bifurcation theory
  • Economic geography
  • Industrial clusters
Label
Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, Kiyohiro Ikeda, Kazuo Murota
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-4-431-54258-2
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Hexagonal Distributions in Economic Geography and Krugmans CorePeriphery Model -- Group-Theoretic Bifurcation Theory -- Agglomeration in Racetrack Economy -- Introduction to Economic Agglomeration on a Hexagonal Lattice -- Hexagonal Distributions on Hexagonal Lattice -- Irreducible Representations of the Group for Hexagonal Lattice -- Matrix Representation for Economy on Hexagonal Lattice -- Hexagons of Christaller and Losch: Using Equivariant Branching Lemma -- Hexagons of Christaller and Losch: Solving Bifurcation Equations
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9784431542582
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-4-431-54258-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)863229357
  • (OCoLC)ocn863229357
Label
Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, Kiyohiro Ikeda, Kazuo Murota
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-4-431-54258-2
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Hexagonal Distributions in Economic Geography and Krugmans CorePeriphery Model -- Group-Theoretic Bifurcation Theory -- Agglomeration in Racetrack Economy -- Introduction to Economic Agglomeration on a Hexagonal Lattice -- Hexagonal Distributions on Hexagonal Lattice -- Irreducible Representations of the Group for Hexagonal Lattice -- Matrix Representation for Economy on Hexagonal Lattice -- Hexagons of Christaller and Losch: Using Equivariant Branching Lemma -- Hexagons of Christaller and Losch: Solving Bifurcation Equations
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9784431542582
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-4-431-54258-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)863229357
  • (OCoLC)ocn863229357

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