Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The Boundary of the Refined Kingman Graph. / Karev, M. V.; Nikitin, P. P.
в: Journal of Mathematical Sciences (United States), Том 240, № 5, 07.08.2019, стр. 539-550.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The Boundary of the Refined Kingman Graph
AU - Karev, M. V.
AU - Nikitin, P. P.
N1 - Karev, M.V., Nikitin, P.P. The Boundary of the Refined Kingman Graph. J Math Sci 240, 539–550 (2019) doi:10.1007/s10958-019-04372-0
PY - 2019/8/7
Y1 - 2019/8/7
N2 - We study the refined Kingman graph 픻, 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 픻 with the space Ω of sets of disjoint open subintervals of [0, 1]. We show that the minimal and Martin boundaries of 픻 coincide.
AB - We study the refined Kingman graph 픻, 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 픻 with the space Ω of sets of disjoint open subintervals of [0, 1]. We show that the minimal and Martin boundaries of 픻 coincide.
UR - http://www.scopus.com/inward/record.url?scp=85068229451&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/boundary-refined-kingman-graph
U2 - 10.1007/s10958-019-04372-0
DO - 10.1007/s10958-019-04372-0
M3 - Article
AN - SCOPUS:85068229451
VL - 240
SP - 539
EP - 550
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 49952453