Non-colliding paths in the honeycomb dimer model and the Dyson process

DOI10.1007/s10955-007-9431-9zbMath1136.82034OpenAlexW2145993737MaRDI QIDQ2473355

Cédric Boutillier

Publication date: 27 February 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-007-9431-9

zbMATH Keywords

random matricesphase transitiontilingsDyson modeldimer models

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Random matrices (algebraic aspects) (15B52) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Cites Work

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• Coincidence probabilities
• Random skew plane partitions and the Pearcey process
• The bead model and limit behaviors of dimer models
• Binomial determinants, paths, and hook length formulae
• Walks, walls, wetting, and melting
• Local statistics of lattice dimers
• Step fluctuations for a faceted crystal
• Non-intersecting paths, random tilings and random matrices
• Eigenvalues of GUE minors
• The arctic circle boundary and the Airy process
• Dimers and amoebae
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• Functional central limit theorems for vicious walkers

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