We combine some results from the literature to give examples of completely mixing interval maps without limit measure.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-6, author = {Gerhard Keller}, title = {Completely mixing maps without limit measure}, journal = {Colloquium Mathematicae}, volume = {100}, year = {2004}, pages = {73-76}, zbl = {1048.37038}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-6} }
Gerhard Keller. Completely mixing maps without limit measure. Colloquium Mathematicae, Tome 100 (2004) pp. 73-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-6/