Abstract
The content of this note is a review of some parts of the papers [4, 5, 6], with some additional remarks. We describe the notion of random 1-current following [5] and then we relate it to vortex filaments, in a new way with respect to [4, 5, 6], but we also recall some facts from these works for comparison. Finally, we describe some attempts to define Gibbs measures on vortex lines. Related problems to random currents are:
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1)
pathwise integration
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2)
integration outside semimartingales
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3)
geometric measure theory
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Flandoli, F., Gubinelli, M. (2004). Random Currents and Probabilistic Models of Vortex Filaments. In: Dalang, R.C., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications IV. Progress in Probability, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7943-9_9
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DOI: https://doi.org/10.1007/978-3-0348-7943-9_9
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