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math.PR2017
Universal edge fluctuations of discrete interlaced particle systems
Erik Duse, Anthony Metcalfe
We impose the uniform probability measure on the set of all discrete Gelfand-Tsetlin patterns of depth with the particles on row in deterministic positions. These systems e…
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.PR2014
Asymptotic geometry of discrete interlaced patterns: Part I
Erik Duse, Anthony Metcalfe
A discrete Gelfand-Tsetlin pattern is a configuration of particles in Z^2. The particles are arranged in a finite number of consecutive rows, numbered from the bottom. There is one…