# Invariant measures and the compactness of the domain

Annales Polonici Mathematici (1998)

- Volume: 69, Issue: 1, page 13-24
- ISSN: 0066-2216

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topMarian Jabłoński, and Paweł Góra. "Invariant measures and the compactness of the domain." Annales Polonici Mathematici 69.1 (1998): 13-24. <http://eudml.org/doc/270416>.

@article{MarianJabłoński1998,

abstract = {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 $V_\{[0,x]\}(1/|τ^\{\prime \}|)$ 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.},

author = {Marian Jabłoński, Paweł Góra},

journal = {Annales Polonici Mathematici},

keywords = {maps with unbounded oscillation; invariant measures},

language = {eng},

number = {1},

pages = {13-24},

title = {Invariant measures and the compactness of the domain},

url = {http://eudml.org/doc/270416},

volume = {69},

year = {1998},

}

TY - JOUR

AU - Marian Jabłoński

AU - Paweł Góra

TI - Invariant measures and the compactness of the domain

JO - Annales Polonici Mathematici

PY - 1998

VL - 69

IS - 1

SP - 13

EP - 24

AB - 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 $V_{[0,x]}(1/|τ^{\prime }|)$ 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.

LA - eng

KW - maps with unbounded oscillation; invariant measures

UR - http://eudml.org/doc/270416

ER -

## References

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