Piecewise convex transformations with no finite invariant measure
Tomasz Komorowski
Annales Polonici Mathematici, Tome 55 (1991), p. 59-68 / Harvested from The Polish Digital Mathematics Library
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 Abstract. The paper concerns the problem of the existence of a finite invariant absolutely continuous measure for piecewise C2-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].

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:266163 
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Tomasz Komorowski. Piecewise convex transformations with no finite invariant measure. Annales Polonici Mathematici, Tome 55 (1991) pp. 59-68. http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-a19712ac-a82d-48c5-910c-0561d77f7302/

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