Fluctuations of TASEP and LPP with general initial data

Ivan Corwin; Zhipeng Liu; Dong Wang

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arXiv · 1412.5087

Fluctuations of TASEP and LPP with general initial data

Ivan Corwin·Zhipeng Liu·Dong Wang

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Abstract

We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a general lattice path to a point. We also consider variants of last passage percolation with inhomogeneous parameter geometric weights and provide variational formulas of a similar nature. This proves one aspect of the conjectural description of the renormalization fixed point of the Kardar-Parisi-Zhang universality class.

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BibTeX RIS

Ivan Corwin, Zhipeng Liu, Dong Wang. 2014-12-16. Fluctuations of TASEP and LPP with general initial data. https://arxiv.org/abs/1412.5087

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