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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
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How can I catalog these generalized Collatz problems?
This is a ruleset whose termination is independent from $\mathrm{PRA}$, primitive recursive arithmetic, letting $\langle x,y\rangle$ be short for $(x+y)(x+y+1)+2y$:
$\langle y,\langle 0,z+1\rangle\ra …