• Corpus ID: 224803806

# A System of PDEs for the Baik-Rains Distribution

@article{Zhang2020ASO,
title={A System of PDEs for the Baik-Rains Distribution},
author={Xincheng Zhang},
journal={arXiv: Probability},
year={2020}
}
It has been discovered that the Kadomtsev-Petviashvili(KP) equation governs the distribution of the fluctuation of many random growth models, in particular, the Tracy-Widom distributions appear as special self-similar solutions of the KP equation. We prove that the anti-derivative of Baik-Rains distribution, which governs the fluctuation of the models in the KPZ universality class starting with stationary initial data, satisfies the KP equation. We start from a determinantal formula of the…
1 Citations
A BSTRACT . The KPZ ﬁxed point is a scaling invariant Markov process which arises as the universal scaling limit of a broad class of models of random interface growth in one dimension, the

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