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Integrable and Random Together
Student-Run Research Seminar| Speaker: | Igor Rumanov, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, May 31 2006, 12:10PM |
There are interesting links between Random Matrices, Symmetric Functions, Integrable Systems and Infinite-dimensional Algebras and Groups. I will try to explain why Fermions, Bosons and maybe even Anyons are convenient for description of these sytems, how all these connections help finding probabilities and correlation functions for various applications such as multivariate statistics(eigenvalue distributions, multivariable hypergeometric functions), condensed matter physics(e.g. some quantum spin systems, Quantum Hall Effect theory), random processes(e.g. random surface growth).