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arXiv · 1908.07711

Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures

Shrihari Sridharan·Atma Ram Tiwari
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Abstract

In this paper, we consider a monic, centred, hyperbolic polynomial of degree $d \ge 2$, restricted on its Julia set and compute its Lyapunov exponents with respect to certain weighted Lyubich's measures. In particular, we show a certain well-behavedness of some coefficients of the Lyapunov exponents, that quantifies the non-well-behavedness in a system.

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Shrihari Sridharan, Atma Ram Tiwari. 2019-08-21. Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures. https://arxiv.org/abs/1908.07711

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