Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption
type: Item
instance of: scholarly article
title: Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption
zbMATH Open document ID: 1025.05002
published in: The Electronic Journal of Combinatorics
publication date: 2002-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/123019
full work available at URL: v9i1r20.html
review text: This paper derives generating functions for various versions of the problem of random walks in a plane when the walk is never allowed to drop below a fixed line and backward steps are not allowed. Also the vertices or edges of the walk may be coloured. The method used is described is an ``exchange'' method in which the generating function is divided up into a sum over various possible ways in which a walk can start. Explicit formulae for the generating functions and critical activities are given for several models. 20 references. Reviewer's note: This technique seems to be new and useful, and capable of further development.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 82B41
zbMATH DE Number: 1741004
zbMATH Keywords: generating functions
zbMATH Keywords: random walks
author: E. J. Janse van Rensburg
author: Andrew Rechnitzer
reviewed by: H. N. V. Temperley
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1741004