Asymptotics for the number of walks in a Weyl chamber of typeB

DOI10.1002/rsa.20467zbMath1309.05180arXiv0906.4642OpenAlexW2111675437MaRDI QIDQ2925525

Thomas Feierl

Publication date: 16 October 2014

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4642

zbMATH Keywords

asymptoticsdeterminantssaddle point methodlattice walksWeyl chamber

Mathematics Subject Classification ID

Related Items (3)

Weighted lattice walks and universality classes ⋮ Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior ⋮ Random walks in cones

Uses Software

• TANGLE

Cites Work

• Random walks in Weyl chambers and the decomposition of tensor powers
• Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers
• A proof of the Bender-Knuth conjecture
• Crossings and nestings in tangled diagrams
• Efficient counting and asymptotics of \(k\)-noncrossing tangled diagrams
• Young tableaux, Gelfand patterns, and branching rules for classical groups
• Nonintersecting paths, pfaffians, and plane partitions
• Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls
• Asymptotics for the distributions of subtableaux in Young and up-down tableaux
• Vicious walkers, friendly walkers and Young tableaux: II. With a wall
• Random Walk in a Weyl Chamber
• Vicious walkers and Young tableaux I: without walls
• Lattice path proofs for determinantal formulas for symplectic and orthogonal characters

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