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Modern Aspects of Random Matrix Theory: Ams Short Course Random Matrices January 6-7, 2013 San Diego, California - Rilegato
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Researchers present introductory surveys of random matrix theory to provide a quick but broad picture of the field, touching on key points, and identifying a number of open problems--some classical and some generated by recent research. The topics are the circular law; free probability and random matrices; random matrix theory, numerical computation, and applications; recent developments in the non-asymptotic theory of random matrices; and random matrices: the universality phenomenon for Wigner ensembles. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)
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Modern Aspects of Random Matrix Theory (Proceedings of Symposia in Applied Mathematics)
Editore:
American Mathematical Society, 2014
ISBN 10: 0821894714
ISBN 13: 9780821894712
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Da: Leopolis, Kraków, Polonia
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Hardcover. Condizione: New. 4to (26 cm), VIII, 174 pp. Publisher's cloth. "This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4 8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of hyperbolic surfaces. Topological recursion has played a fundamental role in connecting seemingly unrelated areas of mathematics such as matrix models, enumeration of Hurwitz numbers and Grothendieck's dessins d'enfants, Gromov-Witten invariants, the A-polynomials and colored polynomial invariants of knots, WKB analysis, and quantization of Hitchin moduli spaces. In addition to establishing these topics, the volume includes survey papers on the most recent key accomplishments: discovery of the unexpected relation to semi-simple cohomological field theories and a solution to the remodeling conjecture. It also provides a glimpse into the future research direction; for example, connections with the Airy structures, modular functors, Hurwitz-Frobenius manifolds, and ELSV-type formulas." (publisher's synopsis). Codice articolo 008532
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