By Kiyohiro Ikeda,Kazuo Murota
This ebook contributes to an knowing of ways bifurcation idea adapts to the research of monetary geography. it truly is simply available not just to mathematicians and economists, but additionally to upper-level undergraduate and graduate scholars who're drawn to nonlinear arithmetic. The self-organization of hexagonal agglomeration styles of commercial areas was once first estimated through the important position conception in financial geography in accordance with investigations of southern Germany. The emergence of hexagonal agglomeration in financial geography versions was once envisaged by way of Krugman. during this ebook, after a quick creation of significant position concept and new fiscal geography, the lacking hyperlink among them is chanced on by means of elucidating the mechanism of the evolution of bifurcating hexagonal styles. trend formation via such bifurcation is a well-studied subject in nonlinear arithmetic, and group-theoretic bifurcation research is a well-developed theoretical instrument. A finite hexagonal lattice is used to precise uniformly allotted locations, and the symmetry of this lattice is expressed by way of a finite workforce. a number of mathematical methodologies vital for tackling the current challenge are accumulated in a self-contained demeanour. The life of hexagonal distributions is demonstrated through group-theoretic bifurcation research, first by means of utilising the so-called equivariant branching lemma and subsequent via fixing the bifurcation equation. This e-book deals a whole advisor for the appliance of group-theoretic bifurcation research to fiscal agglomeration at the hexagonal lattice.
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Bifurcation Theory for Hexagonal Agglomeration in Economic Geography by Kiyohiro Ikeda,Kazuo Murota
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