Renormalization group operators for maps and universal scaling of universal scaling exponents (Q629012)

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scientific article; zbMATH DE number 5862553
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Renormalization group operators for maps and universal scaling of universal scaling exponents
scientific article; zbMATH DE number 5862553

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    Renormalization group operators for maps and universal scaling of universal scaling exponents (English)
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    8 March 2011
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    The author studies the integrable fixed points and two cycles of the renormalization group operators for area-preserving maps. The explicit expressions for the phase-space scaling exponents associated with these fixed points and two-cycles are obtained. The results show that certain integrable fixed points of renormalization group operators for area-preserving maps do indeed follow the principle of approximate combination of scaling exponents.
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    renormalization group
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    operators
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    simple fixed points
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    critical scaling exponents
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