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Typical Borel measures on [0,1](d) satisfy a multifractal formalism
Abstract : In this paper, we prove that in the Baire category sense, measures supported by the unit cube of R(d) typically satisfy a multifractal formalism. To achieve this, we compute explicitly the multifractal spectrum of such typical measures mu. This spectrum appears to be linear with slope 1, starting from 0 at exponent 0, ending at dimension d at exponent d, and it indeed coincides with the Legendre transform of the L(q)-spectrum associated with typical measures mu.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693007
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Submitted on : Tuesday, May 1, 2012 - 7:26:53 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 7:26:53 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
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