17 citations · 44 across the 18 of their papers we have counts for
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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…
Symmetrized Chebyshev Polynomials
Igor Rivin
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of…
An inequality on Chebyshev polynomials
Igor Rivin
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of…
The amplitude modulation transform
Igor Rivin
Motivated by the study of the local extrema of sin(x)/x we define the \emph{Amplitude Modulation} transform of functions defined on (subsets of) the real line. We discuss certain p…