Schur dynamics of the Schur processes |
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| Authors: | Alexei Borodin |
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| Affiliation: | aCalifornia Institute of Technology, Pasadena, CA, United States;bMassachusetts Institute of Technology, Cambridge, MA, United States;cInstitute for Information Transmission Problems, Moscow, Russia |
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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. |
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| Keywords: | Schur processes Markov dynamics |
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