The Boundary of the Refined Kingman Graph
- Авторлар: Karev M.1, Nikitin P.1
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Мекемелер:
- St.Petersburg Department of Steklov Institute of Mathematics
- Шығарылым: Том 240, № 5 (2019)
- Беттер: 539-550
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242783
- DOI: https://doi.org/10.1007/s10958-019-04372-0
- ID: 242783
Дәйексөз келтіру
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.
Авторлар туралы
M. Karev
St.Petersburg Department of Steklov Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: max.karev@gmail.com
Ресей, St. Petersburg
P. Nikitin
St.Petersburg Department of Steklov Institute of Mathematics
Email: max.karev@gmail.com
Ресей, St. Petersburg