47 citations · 224 across the 18 of their papers we have counts for
7 papers · 1 filter
Boundary statistics for the six-vertex model with DWBC
Vadim Gorin, Karl Liechty
We study the behavior of configurations in the symmetric six-vertex model with weights in the square with Domain Wall Boundary Conditions as . We pr…
Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy--Widom GOE distribution
Karl Liechty, Gia Bao Nguyen, Daniel Remenik
We study the distribution of the supremum of the Airy process with wanderers minus a parabola, or equivalently the limit of the rescaled maximal height of a system of non-i…
The k-tacnode process
Robert Buckingham, Karl Liechty
The tacnode process is a universal behavior arising in nonintersecting particle systems and tiling problems. For Dyson Brownian bridges, the tacnode process describes the grazing c…
Nonintersecting Brownian bridges on the unit circle with drift
Robert Buckingham, Karl Liechty
Nonintersecting Brownian bridges on the unit circle form a determinantal stochastic process exhibiting random matrix statistics for large numbers of walkers. We investigate the eff…
Nonintersecting Brownian bridges between reflecting or absorbing walls
Karl Liechty, Dong Wang
We study a model of nonintersecting Brownian bridges on an interval with either absorbing or reflecting walls at the boundaries, focusing on the point in space-time at which the pa…
Propagation of singular behavior for Gaussian perturbations of random matrices
Tom Claeys, Arno B. J. Kuijlaars, Karl Liechty +1
We study the asymptotic behavior of the eigenvalues of Gaussian perturbations of large Hermitian random matrices for which the limiting eigenvalue density vanishes at a singular in…
Nonintersecting Brownian motions on the unit circle
Karl Liechty, Dong Wang
We consider an ensemble of nonintersecting Brownian particles on the unit circle with diffusion parameter , which are conditioned to begin at the same point and to re…