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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 much algebra is preferable for studying/doing research in dynamical/complex systems and ...

I asked this question earlier on Mathematics StackExchange (link), but I think it might be better to put it here. This question seems quite broad to ask... The situation here is that I'm a second-yea …
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