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

  • 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?

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Please give your question a more meaningful title, e.g. "What branches of mathematics treat the generation of entropy and procedural structure generation?" - and it's also better to ask disjunct question separately... – Tobias Kienzler Mar 27 '13 at 9:35
up vote 6 down vote accepted

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.

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thanks, can you also suggest some reference for this? maybe some good books? maybe oriented to the programming world? – user827992 Sep 1 '12 at 9:14

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