Geodesic
Piecewise convex transformations with no finite invariant measure
Annales Polonici Mathematici, Tome 54 (1991) no. 1, pp. 59-68.

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 Abstract. 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 admit such a measure. This result is complementary to the ones contained in [3] and [5].
DOI : 10.4064/ap-54-1-59-68

Tomasz Komorowski 1

1 
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Tomasz Komorowski. Piecewise convex transformations with no finite invariant measure. Annales Polonici Mathematici, Tome 54 (1991) no. 1, pp. 59-68. doi : 10.4064/ap-54-1-59-68. http://geodesic.mathdoc.fr/articles/10.4064/ap-54-1-59-68/

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