adopting sophisticated numerical integration method

pone.0161702.e008">removedGRAPHIC F ¯ (| ξ p |)=1
requires<disp formula id="pone.0161702.e011">removedGRAPHIC π (| y |) d | y |=p (| ξ |) d | ξ |,</disp formula>therefore<disp formula id="pone.0161702.e012">removedGRAPHIC π (| y |)=p (| y | / k) d | ξ | d | y |=1
Asymptotically<disp formula id="pone.0161702.e013">removedGRAPHIC π (| y |)=1 k p (| y | / k) ~ 1 k | y | k -1 - alpha=k alpha | y | -1

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unique grid tiles touched during simulation

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