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, Bufetov, Alexey, Olshanski, Grigori
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Institute of Mathematical Statistics 2017
Online Access:http://hdl.handle.net/1721.1/110172
https://orcid.org/0000-0002-2913-5238
https://orcid.org/0000-0003-4019-8309

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