A Remark on the Isomorphism Between the Bernoulli Scheme and the Plancherel Measure
- Autores: Naryshkin P.E.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 240, Nº 5 (2019)
- Páginas: 567-571
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242791
- DOI: https://doi.org/10.1007/s10958-019-04375-x
- ID: 242791
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Resumo
We formulate a theorem of Romik and Śniady that establishes an isomorphism between the Bernoulli scheme and the Plancherel measure. Then we derive several combinatorial results as corollaries. The first one is related to measurable partitions; the other two are related to the Knuth equivalence. We also give several examples and one conjecture belonging to A. Vershik.
Sobre autores
P. Naryshkin
St. Petersburg State University
Autor responsável pela correspondência
Email: p.e.naryshkin@gmail.com
Rússia, St. Petersburg
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