Geodesic
Weak mixing in general semiflows implies multi-sensitivity, but not thick sensitivity :
Miller, Alica 1
1 Department of Mathematics, University of Louisville, USA
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 2, p. 120-123 Cet article a éte moissonné depuis la source International Scientific Research Publications

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It was proved by Wang et al. [Wang, J. Yin, Q. Yan, J. Nonlinear Sci. Appl., ${\bf 9}$ (2016), 989--997] that any weakly mixing semiflow on a compact metric space, whose all transition maps are surjective, is thickly sensitive. We consider what happens if we do not have the assumptions of compactness and surjectivity. We prove that even in that case any weakly mixing semiflow is multi-sensitive, and that, however, it does not have to be thickly sensitive.

DOI : 10.22436/jnsa.012.02.05
Classification : 37B05, 54H20, 37D45, 37B20, 37B99
Keywords: Weak mixing, sensitivity, multi-sensitivity, thick sensitivity, semi-flow

Miller, Alica   1

1 Department of Mathematics, University of Louisville, USA 
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Miller, Alica . Weak mixing in general semiflows implies multi-sensitivity, but not thick sensitivity. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 2, p. 120-123. doi: 10.22436/jnsa.012.02.05

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