# Multifractal phenomena in physics and chemistry

@article{Stanley1988MultifractalPI, title={Multifractal phenomena in physics and chemistry}, author={Harry Eugene Stanley and Paul Meakin}, journal={Nature}, year={1988}, volume={335}, pages={405-409} }

The neologism 'multifractal phenomena' describes the concept that different regions of an object have different fractal properties. Multifractal scaling provides a quantitative description of a broad range of heterogeneous phenomena.

## 510 Citations

Fractals and Multifractals

- Physics
- 2010

To provide a brief introduction to fractals.
To introduce the notion of fractal dimension.
To provide a brief introduction to multifractals and define a multifractal formalism.
To…

Multifractal Statistics of Mesoscopic Systems

- Physics
- 1999

A generalization of the Havlin–Bunde multifractal hypothesis is used to obtain a probability distribution corresponding to mesoscopic systems close to the critical regime. Good agreement between…

Fractals in the Biological Sciences

- Environmental Science
- 1996

The importance of spatial and temporal scaling to the study of biological systems and processes has long been recognized. We demonstrate that concepts derived from fractal and chaos theory are…

Generalized Dimensions and Multifractals

- Mathematics
- 2020

In the preceding two chapters, we studied the information dimension dI of a probability distribution and of a network. However, in general a single fractal dimension does not suffice to quantify the…

Fractal Aspects of Galaxy Clustering

- Physics
- 1991

In the past decade, the mathematical concept of fractal has exerted a great influence in a large variety of scientific disciplines. It is very common to find recent papers on the application of…

Calculation of multi-fractal dimensions in spin chains

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2014

Analytical derivations and numerical confirmations of the statement that the ground-state wave functions for a large variety of one-dimensional spin- models are multi-fractals in the natural spin-z basis are presented.

A program for fractal and multifractal analysis of two-dimensional binary images: Computer algorithms versus mathematical theory

- Computer Science
- 2006

I Fractals and multifractals: the interplay of Physics and Geometry

- Physics
- 1991

In recent years, a wide range of complex structures of interest to scientists, engineers, and physicans have been quantitatively characterized using the idea of a fractal dimension: a dimension that…

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