110 citations · 452 across the 18 of their papers we have counts for
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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…
Large-degree asymptotics of rational Painleve-IV functions associated to generalized Hermite polynomials
Robert Buckingham
The Painleve-IV equation has three families of rational solutions generated by the generalized Hermite polynomials. Each family is indexed by two positive integers m and n. These f…
Large deformations of the Tracy-Widom distribution I. Non-oscillatory asymptotics
Thomas Bothner, Robert Buckingham
We analyze the left-tail asymptotics of deformed Tracy-Widom distribution functions describing the fluctuations of the largest eigenvalue in invariant random matrix ensembles after…