Tomasz Komorowski
Abstract
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The paper concerns the problem of the existence of a finite invariant absolutely continuous measure for piecewise $C^2$-regular and convex transformations T: [0, l]→[0,1]. We show that in the case when T'(0) = 1 and T"(0) exists T does not admi
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The paper concerns the problem of the existence of a finite invariant absolutely continuous measure for piecewise $C^2$-regular and convex transformations T: [0, l]→[0,1]. We show that in the case when T'(0) = 1 and T"(0) exists T does not admi
Key concepts: Mathematics, Piecewise, Regular polygon, Invariant (physics), Invariant measure, Absolute continuity, Measure (data warehouse), Piecewise linear function