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Documents  Johansson, Kurt | enregistrements trouvés : 2

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Research talks;Mathematical Physics;Probability and Statistics

The two-periodic Aztec diamond is a dimer or random tiling model with three phases, solid, liquid and gas. The dimers form a determinantal point process with a somewhat complicated but explicit correlation kernel. I will discuss in some detail how the Airy point process can be found at the liquid-gas boundary by looking at suitable averages of height function differences. The argument is a rather complicated analysis using the cumulant approach and subtle cancellations. Joint work with Vincent Beffara and Sunil Chhita. The two-periodic Aztec diamond is a dimer or random tiling model with three phases, solid, liquid and gas. The dimers form a determinantal point process with a somewhat complicated but explicit correlation kernel. I will discuss in some detail how the Airy point process can be found at the liquid-gas boundary by looking at suitable averages of height function differences. The argument is a rather complicated analysis using the cumulant approach ...

60K35 ; 60G55 ; 60C05 ; 82B20 ; 05B45

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- v; 118 p.
ISBN 978-1-4704-2964-5

Memoirs of the American Mathematical Society , 1222

Localisation : Collection 1er étage

mouvement brownien de Dyson # statistique linéaire # théorème central limite # échelle mésoscopique # matrice aléatoire # condition initiale de Poisson

60B20 ; 60F25

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