Stochastic Monotonicity in Young Graph and Thoma Theorem
We show that the order on probability measures, inherited from the dominance order on the Young diagrams, is preserved under natural maps reducing the number of boxes in a diagram by 1. As a corollary, we give a new proof of the Thoma theorem on the structure of characters of the infinite symmetric...
| Main Authors: | , |
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| Format: | Article |
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Oxford University Press (OUP)
2018
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| Online Access: | http://hdl.handle.net/1721.1/115910 https://orcid.org/0000-0002-9828-5862 |