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math.DS2021
The periodic orbit conjecture for steady Euler flows
Robert Cardona
The periodic orbit conjecture states that, on closed manifolds, the set of lengths of the orbits of a non-vanishing vector field all whose orbits are closed admits an upper bound.…
math.DS2020
Constructing Turing complete Euler flows in dimension
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
Can every physical system simulate any Turing machine? This is a classical problem which is intimately connected with the undecidability of certain physical phenomena. Concerning f…