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Annals of Combinatorics

, Volume 3, Issue 2–4, pp 451–473 | Cite as

Adsorbing staircase walks and staircase polygons

  • Buks van Rensburg
Article

Abstract

The adsorption of staircase walks and staircase polygons on the main diagonal in the square lattice is reviewed. We draw attention to the connection between adsorbing random walks in subsets of the integers and the square lattice, and this problem. The generating functions of adsorbing staircase walks and polygons are determined using several techniques, and information about the adsorption transition is found by the calculation of a critical exponent associated with it.

AMS Subject Classification

05A15 82B20 82B23 82B41 

Keywords

staircase walks dyck paths adsorption staircase polygons 

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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Buks van Rensburg
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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