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math.PR2021
-TASEP with position-dependent slowing
Roger Van Peski
We introduce a new interacting particle system on , \emph{slowed -TASEP}. It may be viewed as a -TASEP with additional position-dependent slowing of jump rates de…
math.PR2021★ 1 cited
Lyapunov exponents for truncated unitary and Ginibre matrices
Andrew Ahn, Roger Van Peski
In this note, we show that the Lyapunov exponents of mixed products of random truncated Haar unitary and complex Ginibre matrices are asymptotically given by equally spaced `picket…
math.PR2021★ 7 cited
Lozenge tilings and the Gaussian free field on a cylinder
Andrew Ahn, Marianna Russkikh, Roger Van Peski
We use the periodic Schur process, introduced in arXiv:math/0601019v1, to study the random height function of lozenge tilings (equivalently, dimers) on an infinite cylinder distrib…