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math.PR2025
Exact solution of TASEP and variants with inhomogeneous speeds and memory lengths
Konstantin Matetski, Daniel Remenik
In [arXiv:1701.00018, arXiv:2107.07984] an explicit biorthogonalization method was developed that applies to a class of determinantal measures which describe the evolution of sever…
math.PR2024
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…