An Indicator Function Limit Theorem in Dynamical Systems
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چکیده
We show by a constructive proof that in all aperiodic dynamical system, for all sequences (an)n∈N ⊂ R+ such that an ր ∞ and an n → 0 as n → ∞, there exists a set A ∈ A having the property that the sequence of the distributions of ( 1 an Sn(1lA − μ(A)))n∈N is dense in the space of all probability measures on R.
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تاریخ انتشار 2008