Stronger Version Sensitivity,Almost Finite To One Extension And Maximal Pattern Entropy

In this thesis we introduce thick r-sensitivity,multi-r-sensitivity and block thick r-sensitivity for r ? 2.We first give a charaterization of a minimal system which is block thickly r-sensitive.Then we obtain a sufficient condition of a minimal system which is thickly r-sensitive.The maximal pattern entropy of a multi-r-sensitive topological dynamical system is also discussed.