Thursday, August 24, 2006

strange attractors and algebraic varieties are the same things

A plume is invariant under a transformation: it is more interesting, more involved than a fixed point. A fixed point is a single point which doesn't change: it doesn't tell us much about the transformation. At least, what we can deduce from a fixed point is not as interested as what we might deduce from a plume. Demonstration to follow.

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