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Solution of the Kolmogorov equation for TASEP

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arxiv 1906.01692 v2 pith:WDPRXLNG submitted 2019-06-04 math.PR math-phmath.MP

classification math.PRmath-phmath.MP
keywords equationkolmogorovsolutiontasepbackwarddatadirectelementary
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We provide a direct and elementary proof that the formula obtained in [MQR17] for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov backward equation. The same method yields the solution for the related PushASEP particle system.

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  1. KP governs random growth off a one dimensional substrate

    math.PR 2019-08 conditional novelty 8.0 of 10

    The logarithmic derivative of the finite-dimensional distributions of the KPZ fixed point solves the matrix and scalar KP equation.

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