@article{DumontReiter2003,
  author    = {{Jeffrey P. Dumont and Clifford A. Reiter}},
  title     = {{Real dynamics of a $3$-power extension of the $3x+1$ function}},
  journal   = {{Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis}},
  year      = {{2003}},
  volume    = {{10}},
  pages     = {{875--893}},
  note      = {{MR2005e:37099}},
}