What branch of the Math can help me with this? I would love to focus on the branches of the Math that can help me with:


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*generation of entropy, i suppose that most of the works are based on statistic since even a big part of the cryptographic world starts from this and is tested with the help of the statistic. But i do not wont to generate confusion, with entropy i mean to fake randomness

*creating structures programmatically and via a procedural way, like the classic Voronoi for example, but in N dimensions and with boundaries, for example generating a structure, a building, a road, an entire city, you get the point.


What is the big topic of the Math that can help me with this?

1) Dynamical systems, more precisely: Ergodic theory. See Introduction to ergodic theory by Ya. G. Sinai or Ya. B. Pesin's books.
2) Fractal geometry. You can refer to Fractal Geometry by Kenneth Falconer.
You can also see Chaos and Fractals: New Frontiers of Science (more elementary) by Heinz-Otto Peitgen, Hartmut Jürgens and Dietmar Saupe.
For programming, see here, here or here.
Notice that these two branches are strongly linked.
