dc.contributor.author | Corwin, Ivan | |
dc.contributor.author | Liu, Zhipeng | |
dc.contributor.author | Wang, Dong | |
dc.date.accessioned | 2017-12-07T18:36:08Z | |
dc.date.available | 2017-12-07T18:36:08Z | |
dc.date.issued | 2015-08-13 | |
dc.identifier.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. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/25603 | |
dc.description.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 | en_US |
dc.publisher | Institute of Mathematical Statistics | en_US |
dc.subject | TASEP | en_US |
dc.subject | Last passage percolation | en_US |
dc.subject | Kardar–Parisi–Zhang | en_US |
dc.title | Fluctuations of TASEP and LPP with general initial data | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Liu, Zhipeng | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1214/15-AAP1139 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | en_US |