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nlin.SI2016★ 1 cited
Two Lax systems for the Painlevé II equation, and two related kernels in random matrix theory
Karl Liechty, Dong Wang
We consider two Lax systems for the homogeneous Painlevé II equation: one of size studied by Flaschka and Newell in the early 1980's, and one of size introd…
nlin.SI2012★ 47 cited
On the joint distribution of the maximum and its position of the Airy2 process minus a parabola
Jinho Baik, Karl Liechty, Gregory Schehr
The maximal point of the Airy2 process minus a parabola is believed to describe the scaling limit of the end-point of the directed polymer in a random medium, which was proved to b…