- the
correlation dimension. This
relates to the "multi" in
multifractal,
where multifractals have
multiple dimensions in the D(Q)
versus Q spectra, but...
-
manifest local variations in
fractal dimension, they are said to be
multifractals.
Examples of data
sequences that
exhibit local variations in p like...
- ISBN 9780716711865. Mandelbrot,
Benoit B.; J.M. Berger; et al. (1999).
Multifractals and 1/f noise : wild self-affinity in
physics (1963 - 1976) (Repr. ed...
-
supersymmetry in
statistical classical systems, the
introduction of
multifractals in turbulence, the
stochastic differential equation for
growth models...
-
random process. The
plots above are
examples of
multiplicative cascade multifractals. To
create these distributions there are a few
steps to take. Firstly...
- the Koch snowflake.
Qualitative self-similarity: as in a time
series Multifractal scaling:
characterized by more than one
fractal dimension or scaling...
-
studies of parti****tion
numbers obtained by
exact diagonalization,
multifractal properties,
level statistics and many others.
Especially fruitful is...
- \alpha (q)} . DFA is the
special case
where q = 2 {\displaystyle q=2} .
Multifractal systems scale as a
function F q ( n ) ∝ n α ( q ) {\displaystyle F_{q}(n)\propto...
- Geometry. Springer. p. 7. ISBN 978-0-387-74749-1. Harte,
David (2001).
Multifractals.
Chapman & Hall. pp. 3–4. ISBN 978-1-58488-154-4. Balay-Karperien, Audrey...
- Calvet, L. E. (1997). A
multifractal model of ****et returns. 3.2 The
Binomial Measure is the
Simplest Example of a
Multifractal Except the
trivial case...
