Tropical Markov dynamics and Cayley cubic
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posted on 2020-05-06, 14:59 authored by Kathryn Spalding, Alexander VeselovAlexander VeselovWe 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.
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EPSRC
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- Science
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- Mathematical Sciences
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Integrable Systems and Algebraic GeometryVolume
1Pages
383 - 394Publisher
Cambridge University PressVersion
- AM (Accepted Manuscript)
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© 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
9781108773287Publisher version
Book series
London Mathematical Society Lecture Note Series; 458Language
- en
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Ron Donagi; Tony ShaskaDepositor
Prof Alexander Veselov. Deposit date: 6 May 2020Usage metrics
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