Timeline for Young Tableau Box Correlations
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| May 18, 2015 at 23:08 | comment | added | Alex R. | @oferzeitouni: I'm familiar with the mentioned lozenge tiling results but unfortunately I'm not sure if they apply here. Specifically, lozenge tilings use Plancherel measure whereas this problem is for uniform measure on a fixed tableau. As well, as far as I remember, schur functions and macdonald polynomials index lozenge tile locations and don't really rely on exact single box distributions. The only connection I see to Plancherel measure is that the resulting square limit curves are in some sense deformed Logan-Shepp curves. | |
| May 13, 2015 at 6:07 | comment | added | ofer zeitouni | There are plenty of results for correlation functions of random lozenge tilings/planar partitions (those are essentially the same); have you looked up that literature? (Borodin, Okunkov, Kenyon are relevant key authors). In the frozen region you have long range correlation, so I would not expect decorrelation as in the OP. | |
| May 12, 2015 at 21:08 | history | asked | Alex R. | CC BY-SA 3.0 |