# Fractal Properties and Characterizations

@article{Zhang2020FractalPA, title={Fractal Properties and Characterizations}, author={J. H. Zhang}, journal={arXiv: Statistical Mechanics}, year={2020} }

There are three important types of structural properties that remain unchanged under the structural transformation of condensed matter physics and chemistry. They are the properties that remain unchanged under the structural periodic transformation-periodic properties. The properties that remain unchanged under the structural multi scale transformation-fractal properties. The properties that remain unchanged under the structural continuous deformation transformation-topological properties. In… Expand

#### Figures and Tables from this paper

#### References

SHOWING 1-10 OF 199 REFERENCES

Order parameter, symmetry breaking, and phase transitions in the description of multifractal sets.

- Physics, Medicine
- Physical review. A, General physics
- 1987

Fractal measures and their singularities: The characterization of strange sets.

- Mathematics, Medicine
- Physical review. A, General physics
- 1986

Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics

- Physics
- 2011

Phase transitions on strange irrational sets.

- Physics, Medicine
- Physical review. A, General physics
- 1989

Analysis of multiscaling structure in diffusion-limited aggregation: A kinetic renormalization-group approach.

- Physics, Medicine
- Physical review. A, General physics
- 1989