Multitime Distribution in Discrete Polynuclear Growth

نویسندگان

چکیده

We study the multitime distribution in a discrete polynuclear growth model or, equivalently, directed last-passage percolation with geometric weights. A formula for joint function is derived setting. It takes form of multiple contour integral block Fredholm determinant. The asymptotic then computed by taking appropriate KPZ-scaling limit this formula. This expected to be universal models Kardar-Parisi-Zhang universality class. © 2021 Authors. Communications on Pure and Applied Mathematics published Wiley Periodicals LLC.

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ژورنال

عنوان ژورنال: Communications on Pure and Applied Mathematics

سال: 2021

ISSN: ['1097-0312', '0010-3640']

DOI: https://doi.org/10.1002/cpa.21980