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YRM W2 - Isao Sauzedde on Brownian windings and magnetic impurities

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An electron moving freely inside a planar metal with impurities can bedescribed by a Brownian trajectory weighted by its windings around some Poisson distributed points in the plane.

During this talk, I will try to present some of the aspect of Brownian windings in 2 dimensions and their rich structure, such as their Cauchy tail and their log-correlation.

Along the way, I'll also present some Monte--Carlo estimation for the Lévy area.

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