Answers are grounded in this paper and cite their sources.
Transformations on [0, 1] which are piecewise monotonic and piecewise continuous are considered. Using symbolic dynamics, the structure of their nonwandering set is determined. This is then used to prove results about maximal and absolutely continuous invariant measures.
No takes yet. Share an insight, caveat, or question.
Franz Hofbauer (1981) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: