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Meander Determinants

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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.

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  1. Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, N.C. 27599-3250, USA, Service de Physique Théorique, C.E.A. Saclay, F-91191 Gif sur Yvette Cedex, France.¶E-mail: philippe@math.unc.edu, , , , , , US

    P. Di Francesco

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  1. P. Di Francesco
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Received: 13 December 1996 / Accepted: 21 May 1997

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Di Francesco, P. Meander Determinants . Comm Math Phys 191, 543–583 (1998). https://doi.org/10.1007/s002200050277

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  • DOI: https://doi.org/10.1007/s002200050277

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