Pierre Collet, Servet Martinez, Veronique Maume-Deschamps
Conditionally Invariant Probability Measures in Dynamical Systems.
(133K, ps file)
ABSTRACT. Let $T$ be a measurable map on a Polish space $X$,
let $Y$ be a non trivial subset of $X$. We give
conditions ensuring existence of conditionally
invariant probability measures (to non absorption in $Y$).
We also supply sufficient conditions for these probability
measures to be absolutely continuous with respect to some regular
measure.