| An approach to renormalization on the n-torus. | |
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MedLine Citation:
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PMID: 12779893 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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The coding theory of rotations (by inspecting closely their relation to flows) and the continued fractions algorithm (by considering even two-coloring of the integers with a given proportion of, say, blue and red) are revisited. Then, even n-coloring of the integers is defined. This allows one to code rotations on the (n-1)-torus by considering linear flows on the n-torus and yields a simple geometric approach to renormalization on tori by first return maps on the coding regions. |
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Authors:
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Daniel Rockmore; Ralph Siegel; Nils Tongring; Charles Tresser |
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Publication Detail:
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Type: JOURNAL ARTICLE |
Journal Detail:
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Title: Chaos (Woodbury, N.Y.) Volume: 1 ISSN: 1089-7682 ISO Abbreviation: Chaos Publication Date: 1991 Jul |
Date Detail:
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Created Date: 2003-Jun-3 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 100971574 Medline TA: Chaos Country: - |
Other Details:
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Languages: ENG Pagination: 25-30 Citation Subset: - |
Affiliation:
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Department of Mathematics, Columbia University, New York, New York 10027IBM, Thomas J. Watson Research Center, Yorktown Heights, New York 10598Center for Molecular and Behavioral Neuroscience, Rutgers University, Newark, New Jersey 01579The Graduate School and University Center, City University of New York, New York, New York 10036-8099IBM, Thomas J. Watson Research Center, Yorktown Heights, New York 10598. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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