On Growth Rates of Subadditive Functions
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Sebastian J. Schreiber
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Article
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1998
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Elsevier Science
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English
β 277 KB
Let ,: X\_T + Γ X be a semiflow on a compact metric space X. A function F: X\_T + Γ X is subadditive with respect to , if F(x, t+s) F(x, t)+F(,(x, t), s). We define the maximal growth rate of F to be sup x # X lim sup t Γ (1Γt) F(x, t). This growth rate is shown to equal the maximal growth rate of t