Set of strate line segments which cover the curve of fractal structure.

Smaller segments, better approximation of structure curve.

Box-counting dimension (Db)

Box-counting dimension (Db)

Cantor Set

Cantor Set

Von Koch kriva

Von Koch kriva

Fractal dimension is not the same in all scales

Fractal dimension is not the same in all scales

Presents the way of describing irregular objects and phenomena.

Presents the way of describing irregular objects and phenomena.

Multifractal formalism is based on the fact that the highly nonuniform distributions, arising from the nonuniformity of the system, often have many scalable features including self-similarity describing irregular objects and phenomena.

Studying the so-called long-term dependence (long range dependency), dynamics of some physical phenomena and the structure and nonuniform distribution of probability,

Studying the so-called long-term dependence (long range dependency), dynamics of some physical phenomena and the structure and nonuniform distribution of probability,

MA can be used for characterization of fractal characteristics of the results of measurements.

Multifractal analysis studies the local and global irregularities of variables or functions in a geometrical or statistical way.

Multifractal formalism describes the statistical properties of these singular results of measurements in the form of their generalized dimensions (local property) and their singularity spectrum (global)

There are several ways to determine the multifractal parameters and one of the most common is called box-counting method.

There are several ways to determine the multifractal parameters and one of the most common is called box-counting method.