科研之友
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摘要
We study the Lyapunov exponents Lambda(x) for Markov dynamics as a function of path determined by x is an element of RP1 on a binary planar tree, describing the Markov triples and their 'tropical' version- Euclid triples. We show that the corresponding Lyapunov spectrum is [0, ln phi], where. is the golden ratio, and prove that on the Markov-Hurwitz set X of the most irrational numbers the corresponding function Lambda X is monotonically increasing and in the Farey parametrization is convex.
- 出版日期2017-12
