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Brian R. Hunt, Edward Ott, and James A. Yorke

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Phys. Rev. E 54 (1996), 4819-4823.
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A formula, applicable to invertible maps of arbitrary dimensionality,
is derived for the information dimensions of the natural measures of a
nonattracting chaotic set and of its stable and unstable manifolds.
The result gives these dimensions in terms of the Lyapunov exponents
and the decay time of the associated chaotic transient. As an
example, the formula is applied to the physically interesting
situation of filtering of data from chaotic systems.

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*Last updated: May 31, 1998*