The Arctic Circle Revisited

zbMath1147.15304arXiv0704.0362MaRDI QIDQ3517539

F. Colomo, Andrei G. Pronko

Publication date: 12 August 2008

Full work available at URL: https://arxiv.org/abs/0704.0362

zbMATH Keywords

random matricesphase separationmultiple integraldeterminantsaddle-pointdomino tilingsAztec diamondsemptiness formation probabilitylimit shapessix-vertex modeldomain wall boundary conditionsArctic circle theoremArctic ellipsesasymptotic Green functionfree-fermion lineone-matrix modeltailored bulk correlation functiontriple logarithmic singularitytriple Penner model

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52)

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