Schur dynamics of the Schur processes
| Autor: | Alexei Borodin |
|---|---|
| Přispěvatelé: | Massachusetts Institute of Technology. Department of Mathematics, Borodin, Alexei |
| Jazyk: | angličtina |
| Předmět: |
Mathematics(all)
Class (set theory) Pure mathematics General Mathematics FOS: Physical sciences Space (mathematics) 01 natural sciences 010104 statistics & probability Simple (abstract algebra) Unitary group FOS: Mathematics Mathematics - Combinatorics 0101 mathematics Mathematical Physics Markov dynamics Mathematics Schur processes Markov chain Plane (geometry) 010102 general mathematics Probability (math.PR) Skew Mathematical Physics (math-ph) Discrete time and continuous time Combinatorics (math.CO) Mathematics - Probability |
| Zdroj: | Arxiv |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2011.06.038 |
| Popis: | 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. Comment: 22 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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