Random Young Tableaux and Combinatorial Identities
| dc.creator | Olshanski, Grigori | |
| dc.creator | Regev, Amitai | |
| dc.date | 2001-06-11 | |
| dc.date.accessioned | 2026-07-07T09:23:54Z | |
| dc.date.available | 2026-07-07T09:23:54Z | |
| dc.description | We derive new combinatorial identities which may be viewed as multivariate analogs of summation formulas for hypergeometric series. As in the previous paper [Re], we start with probability distributions on the space of the infinite Young tableaux. Then we calculate the probability that the entry of a random tableau at a given box equals n=1,2,.... Summing these probabilities over n and equating the result to 1 we get a nontrivial identity. Our choice for the initial distributions is motivated by the recent work on harmonic analysis on the infinite symmetric group and related topics. | |
| dc.description | 30 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0106074 | |
| dc.identifier | http://arxiv.org/abs/math/0106074 | |
| dc.identifier | Seminaire Lotharingien de Combinatoire, 46 (2001), paper B46e | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155907 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E10 | |
| dc.title | Random Young Tableaux and Combinatorial Identities | |
| dc.type | text |