Vol. 183, No. 1, 1998

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Self-affine multifractal Sierpinski sponges in d

L. Olsen

Vol. 183 (1998), No. 1, 143–199
Abstract

We study self-affine multifractals in d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in d, appear in the self-affine case.

Milestones
Received: 18 September 1995
Revised: 21 July 1997
Published: 1 March 1998
Authors
L. Olsen
University of St. Andrews
St. Andrews, Fife KY16 9SS
Scotland