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I'm reading him now (Dynamics, statistics and projective geometry of Galois fields) and find the ideas likable. He talks about dynamic systems whose state spac
by jesuslop 9y ago
I'm reading him now (Dynamics, statistics and projective geometry of Galois fields) and find the ideas
likable. He talks about dynamic systems whose state spaces are finite fields, for instance the geometric progression of the primitive element (the powers of a multiplicative group generator). "The resulting theory is some number-theoretic finite version of the ergodic theory of toric automorphisms where the chaoticity and the mixing properties of the progressions A^k have been studied for volume-preserving automorphisms A of the continuous torus T^n" He used the nice fact that finite state space discrete dynamics are described by unions of affluent rivers in an attraction basin leading to limiting cycles.
He would have loved messing with python Jupiter notebooks having been guided by paper-and-pencil explorations himself.