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math-ph2004
Determinant Formulae for some Tiling Problems and Application to Fully Packed Loops
P. Di Francesco, P. Zinn-Justin, J. -B. Zuber
We present determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.
math-ph2000
On the Counting of Colored Tangles
P. Zinn-Justin, J. -B. Zuber
The connection between matrix integrals and links is used to define matrix models which count alternating tangles in which each closed loop is weighted with a factor n, i.e. may be…
math-ph1999
Matrix Integrals and the Counting of Tangles and Links
P. Zinn-Justin, J. -B. Zuber
Using matrix model techniques for the counting of planar Feynman diagrams, recent results of Sundberg and Thistlethwaite on the counting of alternating tangles and links are reprod…