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Growth Rates for Semiflows on Hausdorff Spaces

โœ Scribed by Christoph Kawan; Torben Stender

Book ID
113070750
Publisher
Springer US
Year
2012
Tongue
English
Weight
282 KB
Volume
24
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES

On Growth Rates of Subadditive Functions
On Growth Rates of Subadditive Functions for Semiflows
โœ Sebastian J. Schreiber ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 KB

Let ,: X\_T + ร„ X be a semiflow on a compact metric space X. A function F: X\_T + ร„ 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 ร„ (1ร‚t) F(x, t). This growth rate is shown to equal the maximal growth rate of t