article
On the existence of invariant measures for piecewise monotonic transformations
Transactions of the American Mathematical Society · 1973 · Vol. 186 · pp. 481–481
Abstract
A class of piecewise continuous, piecewise C transformations on the interval [O, l] is shown to have absolutely continuous invariant measures.
Mathematical Dynamics and Fractalsadvanced mathematical theoriesStability and Controllability of Differential EquationsMathematicsPiecewiseInvariant (physics)Monotonic functionAbsolute continuityPure mathematicsPiecewise linear functionInterval (graph theory)Class (philosophy)Invariant measure
Citations
543
FWCI
1.60
field-weighted impact
References
4
Percentile
86%
vs. same field & year
Citations per year
Cited by
Bubbling of attractors and synchronisation of chaotic oscillators
Physics Letters A · 1994 · 482 citations
Period Three Implies Chaos
American Mathematical Monthly · 1975 · 1,525 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.
