Schur dynamics of the Schur processes
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 q^{volume}-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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2010
- DOI:
- 10.48550/arXiv.1001.3442
- arXiv:
- arXiv:1001.3442
- Bibcode:
- 2010arXiv1001.3442B
- Keywords:
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- Mathematics - Combinatorics;
- Mathematical Physics;
- Mathematics - Probability
- E-Print:
- 22 pages