On the Existence of Invariant Measures for Piecewise Monotonic Transformations
Open Access
- 1 December 1973
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 186, 481-488
- https://doi.org/10.2307/1996575
Abstract
A class of piecewise continuous, piecewise transformations on the interval [0, 1] is shown to have absolutely continuous invariant measures.Keywords
This publication has 6 references indexed in Scilit:
- Invariant measures and functional equationsAequationes mathematicae, 1973
- Some ergodic properties of multi-dimensional f-expansionsProbability Theory and Related Fields, 1970
- On invariant measures for expanding differentiable mappingsStudia Mathematica, 1969
- Exact endomorphisms of a Lebesgue spacePublished by American Mathematical Society (AMS) ,1964
- On theβ-expansions of real numbersActa Mathematica Hungarica, 1960
- Representations for real numbers and their ergodic propertiesActa Mathematica Hungarica, 1957