Francisco J. Solis and Louis Tao
PHYSICS LETTERS A 228(6), 351-356 (1997)
Abstract.
We discuss properties of random fractals by means of a set of
numbers that characterize their universal properties. This set
is the generalized singularity spectrum that consists of the
usual spectrum of multifractal dimensions and the associated
complex analogs. Furthermore, nonuniversal properties are
recovered from the study of a series of functions which are
generalizations of the so-called energy integral.
(C) 1997 Elsevier Science B.V.
Key words: STRANGE SETS, MELLIN TRANSFORMS, CORRELATION INTEGRALS, ENERGY
INTEGRALS, SCALING LAWS, DIMENSIONS, INTERMITTENCY, ATTRACTORS,
SINGULARITIES, OSCILLATIONS
Louis Tao,
Sept 2000
Applied Mathematics Laboratory &
CNS,
New York, New York 10012