We determine the asymptotic behaviour of the iterates of the Perron-Frobenius operator for specific interval maps with an indifferent fixed point which gives rise to an infinite invariant measure.
@article{bwmeta1.element.bwnjournal-article-smv143i2p103bwm,
author = {Maximilian Thaler},
title = {The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures},
journal = {Studia Mathematica},
volume = {141},
year = {2000},
pages = {103-119},
zbl = {0959.37008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv143i2p103bwm}
}
Thaler, Maximilian. The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures. Studia Mathematica, Tome 141 (2000) pp. 103-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv143i2p103bwm/
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