The Martin boundary of the Young-Fibonacci lattice

DOI10.1023/A:1008739619211zbMath0959.06003arXivmath/9712266OpenAlexW1783253657MaRDI QIDQ1975182

Frederick M. Goodman, Sergei Kerov

Publication date: 29 November 2000

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9712266

zbMATH Keywords

harmonic functionsgraded graphnoncommutative symmetric functiondifferential posetMartin-boundaryMartin-KernelOkada algebraYoung-Fibonacci lattice of finite words

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorics of partially ordered sets (06A07)

Related Items (6)

Asymptotic theory of path spaces of graded graphs and its applications ⋮ Enumeration of paths in the Young-Fibonacci graph ⋮ Phase transition in the exit boundary problem for random walks on groups ⋮ Equipped graded graphs, projective limits of simplices, and their boundaries ⋮ The automorphism group of the Fibonacci poset: A ``not too difficult problem of Stanley from 1988 ⋮ Record‐dependent measures on the symmetric groups

Cites Work

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• Further combinatorial properties of two Fibonacci lattices
• Generalized Robinson-Schensted-Knuth correspondence
• Schensted algorithms for dual graded graphs
• Asymptotic theory of characters of the symmetric group
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Differential Posets
• Algebras Associated to the Young-Fibonacci Lattice

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