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Schur dynamics of the Schur processes

Author(s)
Borodin, Alexei
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Abstract
We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand–Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group.
Date issued
2011-08
URI
http://hdl.handle.net/1721.1/98592
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Advances in Mathematics
Publisher
Elsevier
Citation
Borodin, Alexei. “Schur Dynamics of the Schur Processes.” Advances in Mathematics 228, no. 4 (November 2011): 2268–2291.
Version: Author's final manuscript
ISSN
00018708
1090-2082

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