Tropical Markov dynamics and Cayley cubic
chapterposted on 2020-05-06, 14:59 authored by Kathryn Spalding, Alexander VeselovAlexander Veselov
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.
- Mathematical Sciences
Published inIntegrable Systems and Algebraic Geometry
Pages383 - 394
PublisherCambridge University Press
- AM (Accepted Manuscript)
Rights holder© Cambridge University Press
Publisher statementThis 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.
Book seriesLondon Mathematical Society Lecture Note Series; 458