Email this article A Remark on the Isomorphism Between the Bernoulli Scheme and the Plancherel Measure
- Authors: Naryshkin P.E.1
-
Affiliations:
- St. Petersburg State University
- Issue: Vol 240, No 5 (2019)
- Pages: 567-571
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242791
- DOI: https://doi.org/10.1007/s10958-019-04375-x
- ID: 242791
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
P. E. Naryshkin
St. Petersburg State University
Author for correspondence.
Email: p.e.naryshkin@gmail.com
Russian Federation, St. Petersburg
Supplementary files
