47 citations · 224 across the 18 of their papers we have counts for
21 papers
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…
Monotone subsets in lattices and the Schensted shape of a Sós permutation
Karl Liechty, T. Kyle Petersen
For a fixed irrational number and , we look at the shape of the sequence after Schensted insertion, where . Our primary…
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 Fourier extension method and discrete orthogonal polynomials on an arc of the circle
Jeffrey S. Geronimo, Karl Liechty
The Fourier extension method, also known as the Fourier continuation method, is a method for approximating non-periodic functions on an interval using truncated Fourier series with…
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…