The Boundary of the Refined Kingman Graph
- 作者: Karev M.1, Nikitin P.1
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隶属关系:
- St.Petersburg Department of Steklov Institute of Mathematics
- 期: 卷 240, 编号 5 (2019)
- 页面: 539-550
- 栏目: 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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详细
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.
作者简介
M. Karev
St.Petersburg Department of Steklov Institute of Mathematics
编辑信件的主要联系方式.
Email: max.karev@gmail.com
俄罗斯联邦, St. Petersburg
P. Nikitin
St.Petersburg Department of Steklov Institute of Mathematics
Email: max.karev@gmail.com
俄罗斯联邦, St. Petersburg