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...
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 |
Similar Items
-
Plancherel representations of U(∞) and correlated Gaussian free fields
by: Borodin, Alexei, et al.
Published: (2015) -
Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles
by: Borodin, Alexei, et al.
Published: (2014) -
The boundary of the Gelfand–Tsetlin graph: A new approach
by: Borodin, Alexei, et al.
Published: (2013) -
Markov processes on the path space of the Gelfand–Tsetlin graph and on its boundary
by: Borodin, Alexei, et al.
Published: (2016) -
The Young Bouquet and Its Boundary
by: Borodin, Alexei, et al.
Published: (2013)