Schur dynamics of the Schur processes
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Borodin_Schur dynamics.pdf
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498.28 KB
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Author(s)
Borodin, Alexei
Date Issued
August 2011
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-NoDerivatives
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.aim.2011.06.038
