A multi-layer extension of the stochastic heat equation

DOI10.1007/s00220-015-2541-3zbMath1332.60095arXiv1104.3509OpenAlexW2100066843WikidataQ59476803 ScholiaQ59476803MaRDI QIDQ906906

Neil O'Connell, Jon Warren

Publication date: 1 February 2016

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

Full work available at URL: https://arxiv.org/abs/1104.3509

zbMATH Keywords

stochastic heat equationDarboux transformationsToda equationsnon-intersecting Brownian motionsKarlin-McGregor formula

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (17)

Hidden invariance of last passage percolation and directed polymers ⋮ Invariance of polymer partition functions under the geometric RSK correspondence ⋮ Hall-Littlewood RSK field ⋮ Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume ⋮ KPZ line ensemble ⋮ Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians ⋮ Continuity and strict positivity of the multi-layer extension of the stochastic heat equation ⋮ Brownian Gibbs property for Airy line ensembles ⋮ Macdonald processes ⋮ Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles ⋮ Stochastic Bäcklund Transformations ⋮ Intermediate disorder limits for multi-layer semi-discrete directed polymers ⋮ Local solution to the multi-layer KPZ equation ⋮ Height fluctuations for the stationary KPZ equation ⋮ A stationary model of non-intersecting directed polymers

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