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- W1978233575 abstract "We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with sequential update. The joint distribution of the positions of selected particles is expressed as a Fredholm determinant with a kernel defining a signed determinantal point process. We focus on periodic initial conditions where particles occupy dℤ, d ≥ 2. In the proper large time scaling limit, the fluctuations of particle positions are described by the Airy1 process. Interpreted as a growth model, this confirms universality of fluctuations with flat initial conditions for a discrete set of slopes." @default.
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- W1978233575 date "2010-07-08" @default.
- W1978233575 modified "2023-09-26" @default.
- W1978233575 title "Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process" @default.
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- W1978233575 doi "https://doi.org/10.1093/imrp/rpm002" @default.
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