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In this paper, we introduce several stronger forms of sensitivities in the dynamical systems of semigroup actions, such as thick sensitivity and thickly syndetical sensitivity, and obtain some sufficient conditions for a dynamical system to have such sensitivities. We prove that a weakly mixing system of semigroup actions is thickly sensitive and a minimal weakly mixing system as well as a nonminimal M -system of semigroup actions is thickly syndetically sensitive. c ©2016 All rights reserved.

The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities