Critical resonance in the non-intersecting lattice path model

Details Critical resonance in the non-intersecting lattice path model Critical resonance in the non-intersecting lattice path model

2001-11-19

arxiv.org/abs/math/0111199v4

Probability Theory and Related Fields 130(3):289--318, 2004

Mathematics

Probability

28 pages, 6 figures. v4 has changes suggested by referee

Scientific paper

10.1007/s00440-003-0293-z

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.

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