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The renormalization group. Abstracts from the workshop held March 13th-March 19th, 2011. (English) Zbl 1242.00043

Summary: 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.

MSC:

00B05 Collections of abstracts of lectures
81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory
81T17 Renormalization group methods applied to problems in quantum field theory
82B05 Classical equilibrium statistical mechanics (general)
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
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