5 citations · 5 across the 5 of their papers we have counts for
6 papers · 1 filter
Gelfand-Tsetlin polytopes and random contractions away from the limiting shapes
Benoit Collins, Anthony Metcalfe
In this paper, we consider a sequence of selfadjoint matrices having a limiting spectral distribution as , and we consider a sequence of full flags $\{0\le p_1^n…
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…
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…
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…
Universality properties of Gelfand-Tsetlin patterns
Anthony Metcalfe
A standard Gelfand-Tsetlin pattern of depth is a configuration of particles in . For each , is referred to as the $r…
Interlaced processes on the circle
Anthony P. Metcalfe, Neil O'Connell, Jon Warren
When two Markov operators commute, it suggests that we can couple two copies of one of the corresponding processes. We explicitly construct a number of couplings of this type for a…