Composition of Gaussian noises from successive convex integrations

Authors

Amites Dasgupta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications on Stochastic Analysis

Abstract

In the context of isometric imbedding we consider the method of convex integration using Haar functions. Given a short map f0 on [0, 1], under appropriate randomization we construct random isometric maps fn using convex integration. It is then shown that n3/2(fn-f0) converges weakly to a Gaussian noise measure. We next consider the problem of composing the Gaussian noises from successive convex integrations since isometric imbedding for surfaces proceeds through similar steps. Some applications to approximate isometric imbeddings for two dimensional manifolds are also considered.

First Page

215

Last Page

223

DOI

10.31390/cosa.12.3.01

Publication Date

1-1-2018

Comments

All Open Access, Bronze, Green

Recommended Citation

Dasgupta, Amites, "Composition of Gaussian noises from successive convex integrations" (2018). Journal Articles. 1531.
https://digitalcommons.isical.ac.in/journal-articles/1531