A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
We prove a Central Limit Theorem for the finite dimensional distributions of the displacement for the 1-dimensional self-repelling diffusion which solves n k=1 a k cos(kx) with n < ∞ and a 1 , · · · , a n > 0. A 2-dimensional extension is also discussed. In dimension d ≥ 3, such a result has already been established by Horváth, Tóth and Vetö in 2012 for a large class of interaction functions F , but not for d = 1, 2. Under an integrability condition, Tarrès, Tóth and Valkó conjectured that adoi:10.30757/alea.v15-26 fatcat:pf3ujxruqjeupezup73seozgrm