By D.E. Newland
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Great for engineers and execs, too uncomplicated for mathematicians.
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Extra info for An Introduction to Random Vibrations, Spectral & Wavelet Analysis: Third Edition
Once one knows that the spectrum has zero Lebesgue measure it is a natural question if anything can be said about its Hausdorff dimension. 3 that the Hausdorff dimension is strictly smaller than one for A large enough (A > 5 is sufficient) and it converges to zero as A --+ oo. Strictly positive lower bounds for the Hausdorff dimension of the spectrum at all couplings A follow from the Hausdorff continuity results of [29, 83], to be discussed in Section 7. Several aspects of Raymond's work were used and extended in a number of papers [35, 51, 53, 95, 112].
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