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math.CO2020
Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions
Leonid Petrov
Fully inhomogeneous spin Hall-Littlewood symmetric rational functions arise in the context of higher spin six vertex models, and are multiparamete…
math.CO2012
The Boundary of the Gelfand-Tsetlin Graph: New Proof of Borodin-Olshanski's Formula, and its q-analogue
Leonid Petrov
In the recent paper [arXiv:1109.1412], Borodin and Olshanski have presented a novel proof of the celebrated Edrei-Voiculescu theorem which describes the boundary of the Gelfand-Tse…
math.CO2011
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Leonid Petrov
The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik…