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math.PR2022★ 6 cited
The strong Feller property of the open KPZ equation
Alisa Knizel, Konstantin Matetski
We prove that the semigroup generated by the open KPZ equation on a bounded spatial interval with Neumann boundary conditions parametrized by real parameters u and v enjoys the str…
math.PR2022★ 3 cited
Polynuclear growth and the Toda lattice
Konstantin Matetski, Jeremy Quastel, Daniel Remenik
It is shown that the polynuclear growth model is a completely integrable Markov process in the sense that its transition probabilities are given by Fredholm determinants of kernels…