Fractal

Fractal object and scale invariance

The scale invariance behavior of some field introduced in the Cascade Phenomenology Module is an important propriety in the study of the fractal object.

The Barnsley Fern

Looking for Barnsley fractal object we can observe that, a small fern has the same shape then the bigger one, which also has the same shape as the whole object. This propriety of scale invariance one can found it in time space also, for example in medicine (heart beat ), in economy (stock market), random walks..., etc.

Brownian motion
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