Meander determinants

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-intersecting loops crossing a given (half-) line through a given number of points. This is done by the explicit Gram-Schmidt orthogonalization of certain bases of subspaces of the Temperley-Lieb algebra.

Original languageEnglish (US)
Pages (from-to)543-583
Number of pages41
JournalCommunications in Mathematical Physics
Volume191
Issue number3
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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