Linear Triangle Dynamics: The Pedal Map and Beyond

Abstract

We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic.

11 pages, 4 figures

Cited by in corpus (1)

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