ON F-SENSITIVE PAIRS |
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| Authors: | Tan Feng School of mathematical science South China Normal University Guangzhou China Zhang Ruifeng School of mathematics Hefei University of Technology Hefei China |
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| Affiliation: | Tan Feng School of mathematical science,South China Normal University,Guangzhou 510631,China Zhang Ruifeng School of mathematics,Hefei University of Technology,Hefei 230009,China |
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| Abstract: | In the present paper, we define sensitive pairs via Furstenberg families and discuss the relation of three definitions: sensitivity, F -sensitivity and F -sensitive pairs, see Theorem 1. For transitive systems, we give some sufficient conditions to ensure the existence of F -sensitive pairs. In particular, each non-minimal E system (M system, P system) has positive lower density ( Fs , Fr resp.)-sensitive pairs almost everywhere. Moreover, each non-minimal M system is Fts -sensitive. Finally, by some exampl... |
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| Keywords: | sensitive pair Furstenberg family transitive system |
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