Three-halves variation of geodesics in the directed landscape
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Publication:2085543
DOI10.1214/22-AOP1574MaRDI QIDQ2085543
Publication date: 18 October 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.12994
scaling limitgeodesicvariationlast passage percolationAiry sheetdirected landscapeBrownian-Bessel boundarydirected geodesic
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)
Related Items (5)
The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ A strong duality principle for equivalence couplings and total variation ⋮ Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape ⋮ Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy-Widom GOE distribution ⋮ Local KPZ behavior under arbitrary scaling limits
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