The Boundary of Young Graph with Jack Edge Multiplicities

@inproceedings{Okounkov1997TheBO,
  title={The Boundary of Young Graph with Jack Edge Multiplicities},
  author={Andrei Okounkov},
  year={1997}
}
  • Andrei Okounkov
  • Published 1997
Consider the lattice of all Young diagrams ordered by inclusion, and denote by Y its Hasse graph. Using the Pieri formula for Jack symmetric polynomials, we endow the edges of the graph Y with formal multiplicities depending on a real parameter θ. The multiplicities determine a potential theory on the graph Y. Our main result identifies the corresponding Martin boundary with an infinite-dimensional simplex, the “geometric boundary” of the Young graph Y, and provides a canonical integral… CONTINUE READING
Highly Cited
This paper has 56 citations. REVIEW CITATIONS

Topics

Statistics

0510'99'01'03'05'07'09'11'13'15'17
Citations per Year

56 Citations

Semantic Scholar estimates that this publication has 56 citations based on the available data.

See our FAQ for additional information.