Topological transitivity for expanding piecewise monotonic maps on the interval

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Let T : [0, 1] [arrow right] [0, 1] be an expanding piecewise monotonic map. Conditions on T and ... implying the topological transitivity of T are investigated. For a monotonic mod one transformation T topological transitivity is obtained, if ... If T is a monotonic mod one transformation with three monotonic pieces, then ... implies the topological transitivity of T. An expanding monotonic mod one transformation T with lim^sub x^^sub [arrow right] 0^+ T x = 0 or lim^sub x^^sub [arrow right] 1^ - T x = 1 is topologically transitive. [PUBLICATION ABSTRACT]