A Law of Large Num bers for Random

نویسنده

  • Neil O'Connell
چکیده

We generate a hierarchical sequence of random variables from a map taking k copies of a Banach space to itself. With a simple assumption on the map and an integrability condition for the initial random variables we prove that the renormalized sequence converges almost surely to a constant. We apply this result to the homogenization of Laplace operators on fractals.

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تاریخ انتشار 2000