Tropical Markov dynamics and Cayley cubic
Dynamical Systems
2019-05-03 v2
Abstract
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 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.
Cite
@article{arxiv.1707.01760,
title = {Tropical Markov dynamics and Cayley cubic},
author = {K. Spalding and A. P. Veselov},
journal= {arXiv preprint arXiv:1707.01760},
year = {2019}
}
Comments
Extended version, accepted for publication in "Integrable Systems and Algebraic Geometry" (Editors: R. Donagi, T. Shaska), Cambridge Univ. Press: LMS Lecture Notes Series, 2019