Geodesic
Invariant measures and the compactness of the domain
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 13-24.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-69-1-13-24

Marian Jabłoński 1 ; Paweł Góra 1

1 
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Marian Jabłoński; Paweł Góra. Invariant measures and the compactness of the domain. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 13-24. doi : 10.4064/ap-69-1-13-24. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-13-24/

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