Meanders and the Temperley-Lieb algebra
High Energy Physics - Theory
2015-06-26 v1
Abstract
The statistics of meanders is studied in connection with the Temperley-Lieb algebra. Each (multi-component) meander corresponds to a pair of reduced elements of the algebra. The assignment of a weight per connected component of meander translates into a bilinear form on the algebra, with a Gram matrix encoding the fine structure of meander numbers. Here, we calculate the associated Gram determinant as a function of , and make use of the orthogonalization process to derive alternative expressions for meander numbers as sums over correlated random walks.
Cite
@article{arxiv.hep-th/9602025,
title = {Meanders and the Temperley-Lieb algebra},
author = {P. Di Francesco and O. Golinelli and E. Guitter},
journal= {arXiv preprint arXiv:hep-th/9602025},
year = {2015}
}
Comments
85p, uuencoded, uses harvmac (l mode) and epsf, 88 figures