17 citations · 44 across the 18 of their papers we have counts for
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math.CA2004
Estimates and identities for the average distortion of a linear transformation
Igor Rivin
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 vecto…
math.MG2004★ 1 cited
Surface area and other measures of ellipsoids
Igor Rivin
We begin by studying the surface area of an ellipsoid in n-dimensional Euclidean space as the function of the lengths of the semi-axes. We write down an explicit formula as an inte…