Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes

DOI10.1007/s00440-017-0809-6zbMath1404.60147arXiv1612.00321OpenAlexW2962905526WikidataQ102255993 ScholiaQ102255993MaRDI QIDQ1626606

Ivan Corwin, Alexei Borodin, Patrik Lino Ferrari

Publication date: 21 November 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00321

zbMATH Keywords

Gaussian free fieldspace-time processKPZ universality class\(2+1\) growth models\(q\)-Whittaker processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (12)

Rescaled Whittaker driven stochastic differential equations converge to the additive stochastic heat equation ⋮ The stationary AKPZ equation: Logarithmic superdiffusivity ⋮ Characterization of \(H\)-Brownian Gibbsian line ensembles ⋮ 2D anisotropic KPZ at stationarity: scaling, tightness and nontriviality ⋮ Two-dimensional anisotropic KPZ growth and limit shapes ⋮ Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model ⋮ Speed and fluctuations for some driven dimer models ⋮ Determinantal structures in space-inhomogeneous dynamics on interlacing arrays ⋮ Gaussian fluctuations from the 2D KPZ equation ⋮ Characterization of Brownian Gibbsian line ensembles ⋮ Convergences of the rescaled Whittaker stochastic differential equations and independent sums ⋮ \(q\)-TASEP with position-dependent slowing

Uses Software

• DLMF

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