Article ID Journal Published Year Pages File Type
7155269 Communications in Nonlinear Science and Numerical Simulation 2016 5 Pages PDF
Abstract
This paper proves that every transformation defined on a Borel probability measure space satisfying the large deviations theorem is ergodic. As a corollary, every strongly topologically ergodic dynamical system satisfying the large deviations theorem is syndetically sensitive, improving the main result obtained by Li (2013).
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Physical Sciences and Engineering Engineering Mechanical Engineering
Preview
On the large deviations theorem and ergodicity
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