Tropical_Markov_Emma-65_Final-revised.pdf (2.11 MB)
Download fileTropical Markov dynamics and Cayley cubic
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posted on 2020-05-06, 14:59 authored by Kathryn Spalding, Alexander VeselovAlexander VeselovWe study the tropical version of Markov dynamics on the Cayley cubic, introduced by V. E. Adler and one of the authors. We show that this action is semi-conjugated to the standard action of SL2(Z) on a torus, and thus is ergodic with the Lyapunov exponent and entropy given by the logarithm of the spectral radius of the corresponding matrix.
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