Meander determinants

Research output: Contribution to journalArticlepeer-review


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
Issue number3
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Meander determinants'. Together they form a unique fingerprint.

Cite this