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arxiv: 1510.05031 · v1 · pith:DRD57RVInew · submitted 2015-10-16 · 🧮 math.DS

Counterexamples to Ruelle's inequality in the noncompact case

classification 🧮 math.DS
keywords inequalitynoncompactruellecasecounterexamplesdefineddynamicalentropy
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In this paper we show that there exists a large family of smooth dynamical systems defined over noncompact spaces that does not satisfy Ruelle's inequality between entropy and Lyapunov exponents.

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