Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
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Publication:2039450
DOI10.1214/20-AOP1491zbMath1473.60150arXiv2002.08496OpenAlexW3008139184MaRDI QIDQ2039450
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.08496
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (13)
Last passage isometries for the directed landscape ⋮ On the KPZ scaling and the KPZ fixed point for TASEP ⋮ Integrable fluctuations in the KPZ universality class ⋮ The lower tail of \(q\)-pushTASEP ⋮ Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness ⋮ Local and global comparisons of the Airy difference profile to Brownian local time ⋮ From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ Non-uniqueness times for the maximizer of the KPZ fixed point ⋮ One-sided reflected Brownian motions and the KPZ fixed point ⋮ Integration by parts and the KPZ two-point function ⋮ Three-halves variation of geodesics in the directed landscape ⋮ Local KPZ behavior under arbitrary scaling limits
Cites Work
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- One-dimensional Brownian motion and the three-dimensional Bessel process
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- From the totally asymmetric simple exclusion process to the KPZ fixed point
- A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION
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