From a Random Polygon in $$\mathbb {R}^m$$Rm to an Ellipse: A Fourier Analysis of Iterated Circular Convolutions
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DOI: 10.1007/s40819-017-0320-x
Abstract: We consider random, skew, N-gons in $$\mathbb {R}^m$$Rm, having zero centroids. We investigate a normalized, midpoint averaging transformation, repeatedly applied to the original polygon, which we identify with a normalized circular convolution modulo N. The… read more here.
Keywords: polygon; ellipse; circular convolutions; case ... See more keywords