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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.
22
votes
Accepted
Anti-Mandelbrot set
Perhaps the key term is tricorn? See Inou's Self-similarity for the tricorn (arXiv pdf) and its references.
Sample excerpt:
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 …