B Gutkin, P Cvitanović, R Jafari, A K Saremi and L Han
Is space time? a spatio-temporal field theoryoverheads (2018 working notes) | |

P Cvitanović and M Gudorf A spatiotemporal theory of turbulence - computational challengesoverheads (2018 working notes) |

B Gutkin, P Cvitanović, R Jafari, A K Saremi and L Han
Linear encoding of the spatiotemporal cat map
Nonlinearity, (2018, in preparation)
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2/3rds finished draft of the paper on our spacetime discretized model field theory. | |

Spatiotemporal cat map blog (dec 2017) | |

Working notes -very rough, read at your own risk, but with lots of literature pointers- on our elegant, analytically soluble baby model of a spatiotemporally discretized field theory, and the Ising model / Ihara zeta functions literature of potential relevance to the spatiotemporal reformulation of turbulent field theories.
There is lots of theoretical directions to ponder here. |

Spatiotemporal blog (dec 2017) | |

Working notes -very rough, read at your own risk, but with lots of literature pointers- on how to recast finding invariant solutions of the 1D Kuramoto-Sivashinsky PDE into the problem of finding spatio-temporal fixed point solutions.
The point is that we have give up on finding invariant solutions by forward integration in time from specified intial conditions - instead, we have to develop variational methods to multiply-periodic solutions in spacetime. In particular, it would be very nice if someone writes a working spatiotemporal solver and runs it on some higly parallelized machine. |