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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
8
votes
Undecidability in Conway's Game of Life
I think this is shown in Wainwright, R. (1974). Life is universal! Winter Simulation Conference: Proceedings of the 7th conference on Winter simulation, 2:449–459, although I haven't actually looked a …
2
votes
Functions which form continuous curve with its own iterations
A necessary and sufficient condition for continuity is that you have two end points $a < b$ such that $f(f(a)) = f(a)$ and similarly for $b$, in other words both $f(a)$ and $f(b)$ should be fixed poin …