Fractals and Scaling – online course recommendation

If you always wanted to understand the math behind fractals we very much recommend this beginner-level online course by Complexity Explorer. You don’t need any pre-knowledge and just minor math skills (algebra) to participate.

https://www.complexityexplorer.org/courses/62-fractals-and-scaling-winter-2017

Find a sneak-preview at the bottom if you want to have a short look before you sign up (for free)

 

https://www.complexityexplorer.org/courses/62-fractals-and-scaling-winter-2017

Here’s the course Outline:

1. Introduction to fractals. Self-similarity dimension. Review of logarithms and exponents.

2. Box-counting dimension. Further examples of fractals. Stochastic fractals.

3. Power laws and their relation to fractals. Rank-frequency plots. How to estimate power law exponents.

4. Empirical examples of power laws. Other long-tailed distributions: log normals and stretched exponentials. Implications of long tails.

5. Mechanisms for generating power laws. Rich-get-richer phenomena. Phase transitions. Other mechanisms.

6. Metabolic scaling. West-Brown-Enquist scaling theory.

7. Urban scaling.

 

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