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. 
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
@article{10_4064_ap_69_1_13_24,
     author = {Marian Jab{\l}o\'nski and Pawe{\l} G\'ora},
     title = {Invariant measures and the compactness of the domain},
     journal = {Annales Polonici Mathematici},
     pages = {13--24},
     year = {1998},
     volume = {69},
     number = {1},
     doi = {10.4064/ap-69-1-13-24},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-13-24/}
}
TY  - JOUR
AU  - Marian Jabłoński
AU  - Paweł Góra
TI  - Invariant measures and the compactness of the domain
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 13
EP  - 24
VL  - 69
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-13-24/
DO  - 10.4064/ap-69-1-13-24
LA  - en
ID  - 10_4064_ap_69_1_13_24
ER  - 
%0 Journal Article
%A Marian Jabłoński
%A Paweł Góra
%T Invariant measures and the compactness of the domain
%J Annales Polonici Mathematici
%D 1998
%P 13-24
%V 69
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-13-24/
%R 10.4064/ap-69-1-13-24
%G en
%F 10_4064_ap_69_1_13_24

Cité par Sources :