Tropical Markov dynamics and Cayley cubic Kathryn Spalding Alexander Veselov 2134/12251219.v1 https://repository.lboro.ac.uk/articles/chapter/Tropical_Markov_dynamics_and_Cayley_cubic/12251219 We 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. 2020-05-06 14:59:30 Cayley cubic Markov dynamics Spectral radius