2013/12/01 by Castellano, Claire, Manack, Corey
#37B10 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1312.0281
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.