Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles

DOI10.1007/s00220-018-3139-3zbMath1401.60176arXiv1703.07180OpenAlexW3098592229WikidataQ129871795 ScholiaQ129871795MaRDI QIDQ1989875

Evgeni Dimitrov, Ivan Corwin

Publication date: 29 October 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07180

zbMATH Keywords

stochastic six vertex modelBrownian absolute continuityHall-Littlewood process

Mathematics Subject Classification ID

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

Related Items (23)

Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process ⋮ Hall-Littlewood RSK field ⋮ Convergence of exclusion processes and the KPZ equation to the KPZ fixed point ⋮ Confinement of Brownian polymers under geometric area tilts ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ KMT coupling for random walk bridges ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ The Bessel line ensemble ⋮ Spatial tightness at the edge of Gibbsian line ensembles ⋮ Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians ⋮ Uniform convergence to the Airy line ensemble ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Two-point convergence of the stochastic six-vertex model to the Airy process ⋮ Characterization of \(H\)-Brownian Gibbsian line ensembles ⋮ Tightness of discrete Gibbsian line ensembles ⋮ Limits and fluctuations of \(p\)-adic random matrix products ⋮ KPZ equation correlations in time ⋮ Color-position symmetry in interacting particle systems ⋮ Characterization of Brownian Gibbsian line ensembles ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ Upper-tail large deviation principle for the ASEP

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