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Fluctuations of TASEP and LPP with general initial data
Corwin, Ivan Liu, Zhipeng Wang, Dong
Corwin, Ivan
Liu, Zhipeng
Wang, Dong
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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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Date
2015-08-13
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Institute of Mathematical Statistics
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Keywords
TASEP, Last passage percolation, Kardar–Parisi–Zhang
Citation
Corwin, Ivan; Liu, Zhipeng; Wang, Dong. Fluctuations of TASEP and LPP with general initial data. Ann. Appl. Probab. 26 (2016), no. 4, 2030--2082. doi:10.1214/15-AAP1139.