Estimates and identities for the average distortion of a linear transformation

Details Estimates and identities for the average distortion of a linear transformation Estimates and identities for the average distortion of a linear transformation

2004-12-13

arxiv.org/abs/math/0412260v1

Mathematics

Classical Analysis and ODEs

six pages

Scientific paper

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.

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