Random Matrices and Integrability:
From Theory to Applications
Research Workshop of The Israel Science Foundation
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The last five years have seen significant progress in applying methods of integrable systems to cutting-edge problems of statistical physics. Remarkably, quite similar mathematical ideas have surfaced in different fields of theoretical physics such as the exact theory of nonlinear replica sigma models in the random-matrix-theory (RMT) limit, non-equilibrium dynamics of quantum systems, integrable theory of universal quantum transport in chaotic structures, various models of growth processes, and more.
The purpose of this workshop is to bring together active researchers from several fields of mathematical and theoretical physics where the integrability constitutes either a central paradigm or an important calculational tool. Not less importantly, we also wish to encourage a dialogue between experienced practitioners of the theory of integrable hierarchies and physicists of seemingly far-apart disciplines whose research may potentially benefit from the fruitful ideas of integrability.
The workshop topics include (but not restricted to)
Mathematical theory of integrability for physicists
Integrability of replica field theories in the RMT limit
Nonhermitean random matrices, growth processes
and integrable systems
Heuristic replica applications in RMT and beyond
Novel field-theoretic approaches in RMT and
mesoscopics
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The workshop is co-sponsored by The Israel Science Foundation, The Batsheva de Rothschild Fund of The Israel Academy of Sciences and Humanities, H.I.T. - Holon Institute of Technology, Weizmann Institute of Science, and The United States-Israel Binational Science Foundation.