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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
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