Exchange relations, Dyck paths and copolymer adsorption

DOI10.1016/j.dam.2003.08.008zbMath1043.05009OpenAlexW2115059819MaRDI QIDQ1827835

E. J. Janse van Rensburg, Andrew Rechnitzer

Publication date: 6 August 2004

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2003.08.008

zbMATH Keywords

Dyck pathsCopolymer adsorptionDirected pathsExchange relation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (2)

Periodic copolymers at selective interfaces: a large deviations approach ⋮ The Kubelka–Munk model and Dyck paths

Cites Work

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• A probabilistic method for lattice path enumeration
• Dyck path enumeration
• Adsorbing staircase walks and staircase polygons
• Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption
• Linear recurrences with constant coefficients: The multivariate case
• Basic analytic combinatorics of directed lattice paths
• New results for directed vesicles and chains near an attractive wall
• A method for the enumeration of various classes of column-convex polygons
• The tricritical behavior of self-interacting partially directed walks
• Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
• A directed-walk model of copolymer adsorption
• A collapse transition in a directed walk model
• Adsorption and collapse of self-avoiding walks at a defect plane
• Punctured polygons and polyominoes on the square lattice
• Adsorption of periodic copolymers at a planar interface
• Collapsing and adsorbing polygons

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