The Hausdorff dimension of pulse-sum graphs
نویسندگان
چکیده
We consider random functions formed as sums of pulses F (t) = ∞ ∑ n=1 n −α/D G(n(t−Xn)) (t ∈ R ) where Xn are independent random vectors, 0 < α < 1, and G is an elementary “pulse” or “bump”. Typically such functions have fractal graphs and we find the Hausdorff dimension of these graphs using a novel variant on the potential theoretic method.
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تاریخ انتشار 2006