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MR2135773 (2005m:05228) 05E05 (20F55 51F15 60B15 60C05 82B41)
Eriksen, Niklas; Hultman, Axel Expected reflection distance in $G(r,1,n)$ after a fixed number of reflections. Ann. Comb. 9 (2005), no. 1, 21–33.
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