Critical resonance in the non-intersecting lattice path model
Abstract
We study the phase transition in the honeycomb dimer model (equivalently, monotone non-intersecting lattice path model). At the critical point the system has a strong long-range dependence; in particular, periodic boundary conditions give rise to a ``resonance'' phenomenon, where the partition function and other properties of the system depend sensitively on the shape of the domain.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- November 2001
- DOI:
- arXiv:
- arXiv:math/0111199
- Bibcode:
- 2001math.....11199K
- Keywords:
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- Probability;
- Combinatorics;
- 82B20;
- 60C05
- E-Print:
- 28 pages, 6 figures. v4 has changes suggested by referee