Area-width scaling in generalised Motzkin paths

DOI10.1016/j.physa.2017.04.151zbMath1495.05012arXiv1605.09643OpenAlexW2555987121MaRDI QIDQ2147673

Nils Haug, Grzegorz Siudem, Thomas Prellberg

Publication date: 20 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09643

zbMATH Keywords

exact solutionsscaling functionssaddle point methodbasic hypergeometric seriesSchröder pathsdominant balance

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (1)

Higher-order Airy scaling in deformed Dyck paths

Uses Software

• DLMF
• OEIS

Cites Work

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• Lattice Path Enumeration
• A Course in Enumeration
• Limit Distributions and Scaling Functions
• Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions
• Exact solution of the staircase and row-convex polygon perimeter and area generating function
• Uniform q-series asymptotics for staircase polygons
• Uniform asymptotics of area-weighted Dyck paths
• ANISOTROPIC STEP, SURFACE CONTACT, AND AREA WEIGHTED DIRECTED WALKS ON THE TRIANGULAR LATTICE

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