Nash twist and gaussian noise measure for isometric C¹ maps

Authors

Amites Dasgupta, Indian Statistical Institute, Kolkata
Mahuya Datta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications on Stochastic Analysis

Abstract

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.

First Page

1

Last Page

9

DOI

10.31390/cosa.11.1.01

Publication Date

1-1-2017

Comments

Open Access, Bronze, Green

Recommended Citation

Dasgupta, Amites and Datta, Mahuya, "Nash twist and gaussian noise measure for isometric C¹ maps" (2017). Journal Articles. 2756.
https://digitalcommons.isical.ac.in/journal-articles/2756