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Multiplicative central measures on the Schur graph

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Abstract

We define the Schur graph as the graph of shifted Young diagrams. Multiplicative central measures on this graph have a characteristic property: their transition probabilities differ from those of standard Plancherel measures by factor that depends on the added box and on the order of the diagram. We find all such measures and show that they are parametrized by one positive real number.

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Authors
  1. A. M. Borodin
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 44–52.

This work was supported in part by the International Soros Science Education Program.

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Borodin, A.M. Multiplicative central measures on the Schur graph. J Math Sci 96, 3472–3477 (1999). https://doi.org/10.1007/BF02175824

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  • DOI: https://doi.org/10.1007/BF02175824

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