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math.PR2015
The Cusp-Airy Process
Erik Duse, Kurt Johansson, Anthony Metcalfe
At a typical cusp point of the disordered region in a random tiling model we expect to see a determinantal process called the Pearcey process in the appropriate scaling limit. Howe…
math-ph2015
Asymptotic Geometry of Discrete Interlaced Patterns: Part II
Erik Duse, Anthony Metcalfe
We study the boundary of the liquid region in large random lozenge tiling models defined by uniform random interlacing particle systems with general initial configura…