The Boundary of the Refined Kingman Graph
- Авторы: Karev M.1, Nikitin P.1
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Учреждения:
- St.Petersburg Department of Steklov Institute of Mathematics
- Выпуск: Том 240, № 5 (2019)
- Страницы: 539-550
- Раздел: 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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Аннотация
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.
Об авторах
M. Karev
St.Petersburg Department of Steklov Institute of Mathematics
Автор, ответственный за переписку.
Email: max.karev@gmail.com
Россия, St. Petersburg
P. Nikitin
St.Petersburg Department of Steklov Institute of Mathematics
Email: max.karev@gmail.com
Россия, St. Petersburg