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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.

22 votes
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Anti-Mandelbrot set

Perhaps the key term is tricorn? See Inou's Self-similarity for the tricorn (arXiv pdf) and its references. Sample excerpt:
Benjamin Dickman's user avatar
5 votes

Arithmetic dynamics and dynamics on moduli spaces

Joseph H. Silverman has compiled a long list of articles and books on arithmetic dynamical systems. It is available for free here. Edit: You may wish to check out a book published in March 2019: Ben …
Benjamin Dickman's user avatar