Invariant measures and the compactness of the domain
Marian Jabłoński ; Paweł Góra
Annales Polonici Mathematici, Tome 69 (1998), p. 13-24 / Harvested from The Polish Digital Mathematics Library
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We consider piecewise monotonic and expanding transformations τ of a real interval (not necessarily bounded) into itself with countable number of points of discontinuity of τ’ and with some conditions on the variation V[0,x](1/|τ'|) which need not be a bounded function (although it is bounded on any compact interval). We prove that such transformations have absolutely continuous invariant measures. This result generalizes all previous “bounded variation” existence theorems.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:270416 
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Marian Jabłoński; Paweł Góra. Invariant measures and the compactness of the domain. Annales Polonici Mathematici, Tome 69 (1998) pp. 13-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z1p13bwm/

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