On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model
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Publication:838327
DOI10.1214/08-AIHP174zbMath1171.76019arXivmath/0703100OpenAlexW2951811219MaRDI QIDQ838327
Francesco Russo, Massimiliano Gubinelli, Franco Flandoli
Publication date: 24 August 2009
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703100
Statistical turbulence modeling (76F55) Brownian motion (60J65) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic integrals (60H05)
Related Items (10)
A white noise approach to stochastic currents of Brownian motion ⋮ Mean field limit of interacting filaments and vector valued non-linear PDEs ⋮ An improved characterisation of regular generalised functions of white noise and an application to singular SPDEs ⋮ Noise based on vortex structures in 2D and 3D ⋮ Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients ⋮ Gibbs measures on Brownian currents ⋮ 2D-stochastic currents over the Wiener sheet ⋮ Large deviation for stochastic line integrals as \(L^{p}\)-currents ⋮ Brownian and fractional Brownian stochastic currents via Malliavin calculus ⋮ Rough homogenisation with fractional dynamics
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