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.
Published in
Integrable Systems and Algebraic GeometryVolume
1Pages
383 - 394Publisher
Cambridge University PressVersion
AM (Accepted Manuscript)Rights holder
© Cambridge University PressPublisher statement
This material has been published in revised form in Integrable Systems and Algebraic Geometry edited by Ron Donagi and Tony Shaska https://doi.org/10.1017/9781108773287. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Cambridge University Press.Publication date
2020-03-25Copyright date
2020ISBN
9781108773287Book series
London Mathematical Society Lecture Note Series; 458Language
enEditor(s)
Ron Donagi; Tony ShaskaDepositor
Prof Alexander Veselov. Deposit date: 6 May 2020
