Invariant measures and the compactness of the domain

@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 -