Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape

DOI10.1214/21-EJP706zbMath1496.60115arXiv1912.04164OpenAlexW2994278685MaRDI QIDQ2076660

Shirshendu Ganguly, Erik Bates, Alan Hammond

Publication date: 22 February 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04164

zbMATH Keywords

geodesicspolymersAiry sheetBrownian last passage percolationdirected landscape

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Random measures (60G57) Fractals (28A80)

Related Items (10)

When the geodesic becomes rigid in the directed landscape ⋮ Last passage isometries for the directed landscape ⋮ Law of iterated logarithms and fractal properties of the KPZ equation ⋮ The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ Non-uniqueness times for the maximizer of the KPZ fixed point ⋮ Three-halves variation of geodesics in the directed landscape

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