Invariant densities for C¹ maps
Quas, Anthony
Studia Mathematica, Tome 119 (1996), p. 83-88 / Harvested from The Polish Digital Mathematics Library
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We consider the set of C1 expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of C1 expanding maps with the C1 topology. This is in contrast with results for C2 or C1+ε maps, where the invariant densities can be shown to be continuous.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216323 
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     title = {Invariant densities for C$^1$ maps},
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     volume = {119},
     year = {1996},
     pages = {83-88},
     zbl = {0858.58030},
     language = {en},
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Quas, Anthony. Invariant densities for C¹ maps. Studia Mathematica, Tome 119 (1996) pp. 83-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p83bwm/

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