Email this article The Boundary of the Refined Kingman Graph
- Authors: Karev M.V.1, Nikitin P.P.1
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Affiliations:
- St.Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 240, No 5 (2019)
- Pages: 539-550
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242783
- DOI: https://doi.org/10.1007/s10958-019-04372-0
- ID: 242783
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Abstract
We study the refined Kingman graph ????, first introduced by Gnedin, whose vertices are indexed by the set of compositions of positive integers and multiplicity function reflects the Pieri rule for quasisymmetric monomial functions. Gnedin identified the Martin boundary of ???? with the space Ω of sets of disjoint open subintervals of [0, 1]. We show that the minimal and Martin boundaries of ???? coincide.
About the authors
M. V. Karev
St.Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: max.karev@gmail.com
Russian Federation, St. Petersburg
P. P. Nikitin
St.Petersburg Department of Steklov Institute of Mathematics
Email: max.karev@gmail.com
Russian Federation, St. Petersburg
