On a Class of Transformations Which Have Unique Absolutely Continuous Invariant Measures

@inproceedings{ABSOLUTELY2010OnAC,
  title={On a Class of Transformations Which Have Unique Absolutely Continuous Invariant Measures},
  author={UNIQUE ABSOLUTELY and MANNY SCAROWSKY},
  year={2010}
}
  • UNIQUE ABSOLUTELY, MANNY SCAROWSKY
  • Published 2010
A class of piecewise C2 transformations from an interval into itself with slopes greater than 1 in absolute value, and having the property that it takes partition points into partition points is shown to have unique absolutely continuous invariant measures. For this class of functions, a centra] limit theorem holds for all real measurable functions. For the… CONTINUE READING