@article{oai:mie-u.repo.nii.ac.jp:00007093,
 author = {Ishitani, Hiroshi and Ishitani, Kensuke},
 journal = {Tokyo journal of mathematics},
 month = {Jan},
 note = {application/pdf, This paper is concerned with giving explicitly the invariant density for a class of rational transformations from the realline ℝ into itself. We proved that the invariant density can be written in terms of the fixed point z₀ in ℂ/ℝor in terms of the periodic point z₀ in ℂ/ℝ with period 2. The explicit from of the density allows us to obtain the ergodic properties of the transformation R.},
 pages = {325--341},
 title = {Invariant measures for a class of rational transformations and ergodic properties},
 volume = {30},
 year = {2007}
}