Disertori, Margherita (ed.); Feldman, Joel (ed.); Salmhofer, Manfred (ed.) The renormalization group. Abstracts from the workshop held March 13th-March 19th, 2011. (English) Zbl 1242.00043 Oberwolfach Rep. 8, No. 1, 781-824 (2011). 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. Cited in 1 Document 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) PDFBibTeX XMLCite \textit{M. Disertori} (ed.) et al., Oberwolfach Rep. 8, No. 1, 781--824 (2011; Zbl 1242.00043) Full Text: DOI