online videos, presentations

turbulence in spacetime

Online talks

YouTube P Cvitanović
Hearding cats : chaotic field theory (emphasizes quantum physics motivation)
overheads (December 6, 2021 QM3 Quantum Matter meets Maths, Lisbon - 1 h talk)
pdf P Cvitanović
Are clouds supercomputers in the sky?
overheads (March 4, 2021 Mathematics Colloquium, The Simons Center for Geometry and Physics, Stony Brook, NY - 55 min talk)
pdf P Cvitanović
Spatiotemporal cat : a chaotic field theory
overheads (December 16, 2020 Mathematical Physics Webinar, Rutgers University - 55 min talk)
pdf P Cvitanović
Herding cats : a chaotic field theory
overheads (September 25, 2020 ITS Symposium on Chaos and Quantum Field Theory - 1 hour talk) | abstract | video (XXX)
pdf P Cvitanović and H Liang
Herding cats : a chaotic field theory
overheads (July 2020) | video (similar to 2020 APS below, but 1h long)
pdf P Cvitanović, H Liang and M N Gudorf
Is space time? a spatiotemporal tiling of turbulence
overheads (March 2, 2020 APS March Meeting - 30 min talk)
Revolution will not be twitterized!

Chaotic lattice field theory

pdf Han Liang and Predrag Cvitanović
A chaotic lattice field theory in one dimension (April 2022, includes explanatory videos)
J. Phys. A 55, 304002 (2022)
[ arXiv:2201.11325 | DOI ]
Our approach to time-reversal invaraince, with an unexpected zeta function.
pdf Predrag Cvitanović and Han Liang
Spatiotemporal cat: A chaotic field theory
rough draft , (April 2022)
Our discretized spacetime model field theory, 3rd millennium formulation.
pdf S. V. Williams, M. N. Gudorf, X. Wang, H. Liang and P. Cvitanović
Nonlinear chaotic lattice field theory
rough draft , (April 2022)
Our discretized spacetime nonlinear field theory.
pdf B Gutkin, P Cvitanović, R Jafari, A K Saremi and L Han
Linear encoding of the spatiotemporal cat map
Nonlinearity 34, 2800--2836 (2021)
[ arXiv:1912.02940 | DOI ]
Our spacetime discretized model field theory, pre-1969 Soviet style approach.
pdf Predrag Cvitanović and Han Liang
Chaotic field theory slides (December 2021)
[why? | Bernoulli | cat | spatiotemporal cat | time reversal | Hill's formula | time is dead ]
Seminar Spatiotemporal cat map blog (feb 2022) Working notes -very rough, read at your own risk, with many literature pointers- on our elegant, analytically soluble baby model of a spatiotemporally discretized chaotic field theory, on the Ising model / Ihara zeta functions literature of potential relevance to the spatiotemporal reformulation of turbulent field theories. There are many promising directions to ponder here.

Spatiotemporal theory of turbulence

YouTube P Cvitanović and M Gudorf
A spatiotemporal theory of turbulence - computational challenges
overheads (October 12, 2020 Intern. Conf. Computer Simulation in Physics and beyond CSP2020, Moscow - plenary talk)
pdf Matthew N. Gudorf
Spatiotemporal tiling of the Kuramoto-Sivashinsky system
thesis (November 20, 2020 - 1 hour talk) Georgia Tech thesis repository link
Video P Cvitanović:
Dynamical systems are a fraud!
(5:40 min manifesto Jan 11, 2022)
Act locally, think globally, tighten the rubber band: elaborated a bit in the next two videos.
Video P Cvitanović: What do we talk about when we talk about chaos I (9:41 min, July 29, 2020) When we talk, we talk about evolving in time, derive the forward-in-time Jacobian.
Video P Cvitanović: What do we talk about when we talk about chaos II (8:40 min July 30, 2020) When we walk the walk, we determine the global orbit and its global stability, derive its orbit Jacobian.
Seminar 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.

Chaotic Field Theory

Predrag Cvitanović
Chaotic Field Theory: a sketch,
Physica A 288 , 61 (2000) [ arXiv:nlin.CD/0001034 | DOI | NSF review panel critique ]