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Tropical Markov dynamics and Cayley cubic

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posted on 06.05.2020, 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.

Funding

EPSRC

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Integrable Systems and Algebraic Geometry

Volume

1

Pages

383 - 394

Publisher

Cambridge University Press

Version

AM (Accepted Manuscript)

Rights holder

© Cambridge University Press

Publisher 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

2020-03-25

Copyright date

2020

ISBN

9781108773287

Book series

London Mathematical Society Lecture Note Series; 458

Language

en

Editor(s)

Ron Donagi; Tony Shaska

Depositor

Prof Alexander Veselov. Deposit date: 6 May 2020

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