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EIGENVALUE DYNAMICS, FOLLYTONS AND LARGEN LIMITS OF MATRICES
Department of Mathematics, Royal Institute of Technology, Stockholm, 100 44, Sweden .ORCID iD: 0000-0002-8727-2169
Department of Mathematics, Royal Institute of Technology, Stockholm, 100 44, Sweden .
2006 (English)In: Applications of Random Matrices in Physics / [ed] Édouard Brézin, Vladimir Kazakov, Didina Serban, Paul Wiegmann, Anton Zabrodin, Springer, 2006, 211, 89-94 p.Chapter in book (Refereed)
Abstract [en]

How do the eigenvalues of a “free” hermitian N × N matrix X(t) evolve in time? The answer is provided by the rational Calogero-Moser systems [5, 13] if (!) the initial conditions are chosen such that i[X(0),Ẋ(0)] has a non-zero eigenvalue of multiplicity N–1; for generic X(0),Ẋ(0) the question remained unanswered for 30 years.

Place, publisher, year, edition, pages
Springer, 2006, 211. 89-94 p.
Series
Nato Science Series II: Mathematics, Physics and Chemistry, ISSN 1568-2609 ; 211
National Category
Mathematics Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-122359DOI: 10.1007/1-4020-4531-X_3ISBN: 978-1-4020-4529-5 (print)ISBN: 978-1-4020-4531-8 (print)OAI: oai:DiVA.org:liu-122359DiVA: diva2:865833
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09

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