in chapter one we will describe definitions and preliminary results to provide the global context of our own results to be presented in detail in the subsequent chapters in chapter two we consider degree-one maps of the circle and we study their rotation set. our main result in this chapter says that if the map is topologically mixing then its rotation interval is nontrivial (that is, not reduc...

when we return to the concept of poetry and the age-old discussion about the uselessness or the usefulness of the poets to the private and public state of human beings, originating from plato and aristotles views about poets respectively, there emerges the question of the role of poetry in human beings lives. in the same manner, with the advance of technology and the daily progress and improvem...

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...