Werner, Wendelin Rate of explosion of the Amperean area of the planar Brownian loop. (English) Zbl 0814.60081 Azéma, Jacques (ed.) et al., Séminaire de Probabilités XXVIII. Berlin: Springer-Verlag. Lect. Notes Math. 1583, 153-163 (1994). The main result proved is \[ \lim_{\varepsilon \to 0} {1 \over | \log \varepsilon |} \int(n_ z)^ 2 dz = {1 \over 2 \pi}, \] where \(dz\) is Lebesgue measure on \(\mathbb{R}^ 2\) and \(n_ z\) in the “index” of the two-dimensional Brownian motion around \(z\).For the entire collection see [Zbl 0797.00020]. Reviewer: M.Rao (Gainesville) Cited in 1 Document MSC: 60J65 Brownian motion 60H05 Stochastic integrals Keywords:Brownian loop; stochastic integral; index PDFBibTeX XMLCite \textit{W. Werner}, Lect. Notes Math. 1583, 153--163 (1994; Zbl 0814.60081) Full Text: Numdam EuDML