
On the quenched central limit theorem for random dynamical systems
Journal Article
رابط المنشور على الويب:
المجلة \ الصحيفة:
Journal of Physics A: Mathematical and Theoretical
رقم العدد:
24
رقم الإصدار السنوي:
49
مستخلص المنشور:
We provide a necessary and sufficient condition under which the quenched central limit theorem without random centering holds for one-dimensional random systems that are uniformly expanding. This condition holds in particular when all the maps preserve a common measure. We also give a counter example which shows that this condition is not necessarily satisfied when the maps do not preserve a common measure