Titlebook: Bifurcation Theory for Hexagonal Agglomeration in Economic Geography; Kiyohiro Ikeda,Kazuo Murota Book 2014 Springer Japan 2014 Core-perip

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David Raffaelli,Stephen Hawkinsith micromechanism by Krugman’s core–periphery model. The group-theoretic bifurcation analysis procedure presented in Chap. . is applied to a problem with the dihedral group, expressing the symmetry of the racetrack economy. The theoretically possible agglomeration (bifurcation) patterns of this eco

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We Can and Must Understand Computers NOWysis of geometrical characteristics of the lattice, as a vital prerequisite for the group-theoretic bifurcation analysis of this lattice that will be conducted in Chaps. 6–9. Hexagonal distributions on this lattice, corresponding to those envisaged by Christaller and Lösch in central place theory (S

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Najla AL-Qawasmeh,Muna Khayyat,Ching Y. Suenbranching lemma as a pertinent and sufficient means to test the existence of hexagonal bifurcating patterns on the hexagonal lattice. By the application of this lemma to the irreducible representations of the group ., all hexagonal distributions of Christaller and Lösch (Chaps. . and .) are shown to

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tical and numerical recipe serviceable for wide audience.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 wh

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David Raffaelli,Stephen Hawkinsretic bifurcation analysis procedure under group symmetry is presented with particular emphasis on Liapunov–Schmidt reduction under symmetry. Bifurcation equation, equivariant branching lemma, and block-diagonalization are introduced as mathematical tools used to tackle bifurcation of a symmetric system in Chaps. .–..