Estimates and identities for the average distortion of a linear transformation
Classical Analysis and ODEs
2007-05-23 v1 Dynamical Systems
Abstract
For a linear transformation A from Rn to Rn, we give sharp bounds for the average distortion of A, that is, the average value of log of the euclidean norm of Au over all unit vectors u. This is closely related to the results of the author's paper math.DS/0312048.
Cite
@article{arxiv.math/0412260,
title = {Estimates and identities for the average distortion of a linear transformation},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:math/0412260},
year = {2007}
}
Comments
six pages