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- W3156069892 abstract "The Kardar-Parisi-Zhang (KPZ) fixed point is a Markov process, recently introduced by Matetski, Quastel, Remenik (arXiv:1701.00018), that describes the limit fluctuations of the height function associated to the totally asymmetric simple exclusion process (TASEP), and it is conjectured to be at the centre of the KPZ universality class. Our main result is that the KPZ incremental process converges weakly to its invariant measure, given by a two-sided Brownian motion with zero drift and diffusion coefficient 2. The heart of the proof is the coupling method that allows us to compare the TASEP height function with its invariant process, which under the KPZ scaling turns into uniform estimates for the KPZ fixed point." @default.
- W3156069892 created "2021-04-26" @default.
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- W3156069892 date "2021-01-01" @default.
- W3156069892 modified "2023-10-16" @default.
- W3156069892 title "Ergodicity of the KPZ Fixed Point" @default.
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- W3156069892 doi "https://doi.org/10.30757/alea.v18-35" @default.
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