Lyapunov exponents and invariant measures on a projective bundle

被引：0
|
作者：
G. S. Osipenko
机构：
[1] LomonosovMoscow State University,
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
Morse spectrum; chain-recurrent set; projective bundle; invariant measure; symbolic image; flow on a graph; averaging with respect to a measure;
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学科分类号：
摘要：
A discrete dynamical system generated by a diffeomorphism f on a compact manifold is considered. The Morse spectrum is the limit set of Lyapunov exponents of periodic pseudotrajectories. It is proved that the Morse spectrum coincides with the set of averagings of the function ϕ(x, e) = ln|Df(x)e| over the invariant measures of the mapping induced by the differential Df on the projective bundle.
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页码：666 / 676
页数：10
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