Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness

DOI10.1214/22-EJP898WikidataQ123001349 ScholiaQ123001349MaRDI QIDQ2685140

Alan Hammond, Milind Hegde, Ivan Corwin, Konstantin Matetski

Publication date: 19 February 2023

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

Full work available at URL: https://arxiv.org/abs/2101.04205

zbMATH Keywords

Hausdorff dimensionexceptional timesBrownian Gibbs propertyAiry sheetKPZ fixed point

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Statistical mechanics of polymers (82D60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Random matrices (algebraic aspects) (15B52) Fractals (28A80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Time-dependent percolation in statistical mechanics (82C43)

Related Items (3)

On the KPZ scaling and the KPZ fixed point for TASEP ⋮ 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

Uses Software

• DLMF

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