Critical resonance in the non-intersecting lattice path model
From MaRDI portal
Publication:1765106
DOI10.1007/s00440-003-0293-zzbMath1071.82016arXivmath/0111199OpenAlexW2032040194MaRDI QIDQ1765106
Richard W. Kenyon, David Bruce Wilson
Publication date: 22 February 2005
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0111199
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Walks, walls, wetting, and melting
- On the theory of Pfaffian orientations. II: \(T\)-joins, \(k\)-cuts, and duality of enumeration
- An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime
- Exact solution of a vertex model in \(d\) dimensions
- Ladder heights, Gaussian random walks and the Riemann zeta function
- Local statistics of lattice dimers
- On a correlated aggregate claims model with Poisson and Erlang risk processes.
- Matchings in graphs on non-orientable surfaces
- Dimer statistics on the Möbius strip and the Klein bottle
- On a function which occurs in the theory of the structure of polymers
- A variational principle for domino tilings
- The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
- The Bose-Einstein integrals $$\mathcal{B}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } - 1} )^{ - 1} d\varepsilon $$
- Meissner phase for a model of oriented flux lines
- Combinatorial and topological approach to the 3D Ising model
- The low-temperature expansion of the Wulff crystal in the 3D Ising model
- Close-packed dimers on nonorientable surfaces