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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this paper, we study the complexity of semigroup actions
using complexity functions of open covers. The main results are as follows:
(1) A dynamical system is equicontinuous if and only if any open cover
has bounded complexity; (2) Weak-mixing implies scattering; (3) We get
a criterion for the scattering property.
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참고문헌 (5)
참고문헌 신청
F. Blanchard / 2000 / Topological complexity / Ergodic Theory and Dynamical Systems 20 (3) : 641 ~ 662
J. de Vries / 1993 / Elements of topological dynamics, Mathematics and its Applications / Kluwer Academic Publishers Group : 257 ~
K. E. Petersen / 1970 / Disjointness and weak mixing of minimal sets / Proc. Amer. Math. Soc. : 278 ~ 280
S. Ferenczi / 1997 / Measure-theoretic complexity of ergodic systems / Israel Journal of Mathematics 100 : 189 ~ 207
S. Ferenczi / 1999 / Complexity of sequences and dynamical systems / Discrete Mathematics 206 (1) : 145 ~ 154
J. de Vries / 1993 / Elements of topological dynamics, Mathematics and its Applications / Kluwer Academic Publishers Group : 257 ~
K. E. Petersen / 1970 / Disjointness and weak mixing of minimal sets / Proc. Amer. Math. Soc. : 278 ~ 280
S. Ferenczi / 1997 / Measure-theoretic complexity of ergodic systems / Israel Journal of Mathematics 100 : 189 ~ 207
S. Ferenczi / 1999 / Complexity of sequences and dynamical systems / Discrete Mathematics 206 (1) : 145 ~ 154
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