The law of large numbers and the central limit theorem for the jordan normal form of large triangular matrices over a finite field
- Cite this article as:
- Borodin, A.M. J Math Sci (1999) 96: 3455. doi:10.1007/BF02175823
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's measures by a 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.