Geodesic
Probabilistic models of vortex filaments
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 713-731 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A model of vortex filaments based on stochastic processes is presented. In contrast to previous models based on semimartingales, here processes with fractal properties between $1/2$ and $1$ are used, which include fractional Brownian motion and similar non-Gaussian examples. Stochastic integration for these processes is employed to give a meaning to the kinetic energy.
A model of vortex filaments based on stochastic processes is presented. In contrast to previous models based on semimartingales, here processes with fractal properties between $1/2$ and $1$ are used, which include fractional Brownian motion and similar non-Gaussian examples. Stochastic integration for these processes is employed to give a meaning to the kinetic energy.
Classification : 60H05, 60H30, 76F55, 76M35
Keywords: stochastic integration; fractional Brownian motion; $p$-variation; vortex filaments; statistical fluid mechanics 
@article{CMJ_2001_51_4_a4,
     author = {Flandoli, Franco and Minelli, Ida},
     title = {Probabilistic models of vortex filaments},
     journal = {Czechoslovak Mathematical Journal},
     pages = {713--731},
     year = {2001},
     volume = {51},
     number = {4},
     mrnumber = {1864038},
     zbl = {1001.60057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_4_a4/}
}
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Flandoli, Franco; Minelli, Ida. Probabilistic models of vortex filaments. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 713-731. http://geodesic.mathdoc.fr/item/CMJ_2001_51_4_a4/