KP governs random growth off a 1-dimensional substrate
نویسندگان
چکیده
The logarithmic derivative of the marginal distributions randomly fluctuating interfaces in one dimension on a large scale evolve according to Kadomtsev-Petviashvili (KP) equation. This is derived algebraically from Fredholm determinant obtained [MQR17, arXiv:1701.00018] for KPZ fixed point as limit transition probabilities TASEP, special solvable model universality class. Tracy-Widom appear self-similar solutions KP and KdV. In addition, it noted that several known exact equation also solve KP.
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ژورنال
عنوان ژورنال: Forum of Mathematics, Pi
سال: 2022
ISSN: ['2050-5086']
DOI: https://doi.org/10.1017/fmp.2021.9