Nash twist and gaussian noise measure for isometric C1 maps
Communications on Stochastic Analysis
Starting with a short map f0: I → ℝ3 on the unit interval I, we construct random isometric map fn: I → ℝ3 (with respect to some fixed Riemannian metrics) for each positive integer n, such that the difference (fn -f0) goes to zero in the C0 norm. The construction of fn uses the Nash twist. We show that the distribution of n3/2(fn - f0) converges (weakly) to a Gaussian noise measure.
Dasgupta, Amites and Datta, Mahuya, "Nash twist and gaussian noise measure for isometric C1 maps" (2017). Journal Articles. 2756.