Arnold's cat map

Layer 0 — Mathematicsin the ergodic-theory subtree

Hyperbolic toral automorphism with matrix [[2,1],[1,1]] of determinant 1. Ergodic, mixing, Bernoulli, with positive Lyapunov exponent log((3+√5)/2) = 2 log φ. Canonical example of a chaotic area-preserving map.

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