In this paper, we consider the properties of iteration graphs over the unit group Z*n of the residue ring Z n associated with the maps x → x p and compute the average values of tails and cycles of those iteration gra...In this paper, we consider the properties of iteration graphs over the unit group Z*n of the residue ring Z n associated with the maps x → x p and compute the average values of tails and cycles of those iteration graphs.展开更多
基金Supported by the National Natural Science Foundation of China(11271208)
Acknowledgement The authors are grateful to the referees for their careful reading of the original version of this paper, their detailed comments and suggestions that much improved the quality of this paper.
文摘In this paper, we consider the properties of iteration graphs over the unit group Z*n of the residue ring Z n associated with the maps x → x p and compute the average values of tails and cycles of those iteration graphs.