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Published online: 2011-09-04
The Renormalization GroupMargherita Disertori, Joel Feldman and Manfred Salmhofer (1) Rheinische Friedrich-Wilhelms-Universität Bonn, Germany
(2) University of British Columbia, Vancouver, Canada
(3) Universität Heidelberg, Germany
Invented as a multiscale approach to the theory of critical phenomena, the renormalization group has become a powerful mathematical tool in the analysis of infinite-dimensional systems. Its applications range from classical and quantum statistical mechanics and quantum field theory to partial differential equations, operator theory, and probability theory. Deep connections of renormalization group flows to geometric flows exist.
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Disertori Margherita, Feldman Joel, Salmhofer Manfred: The Renormalization Group. Oberwolfach Rep. 8 (2011), 781-824. doi: 10.4171/OWR/2011/15