Limit shapes for growing extreme characters of U(∞)

We prove the existence of a limit shape and give its explicit description for certain probability distribution on signatures (or highest weights for unitary groups). The distributions have representation theoretic origin-they encode decomposition on irreducible characters of the restrictions of cert...

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Bibliographic Details
Main Authors: Borodin, Alexei (Contributor), Bufetov, Alexey (Contributor), Olshanski, Grigori (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematical Statistics, 2017-06-22T18:06:19Z.
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