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arxiv: math/0501123 · v2 · pith:IDJPDNSPnew · submitted 2005-01-09 · 🧮 math.OC · math.MG

Searching for a Shoreline

classification 🧮 math.OC math.MG
keywords logarithmicmin-meanoptimalaccountanalogassumingcallcoils
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Logarithmic spirals are conjectured to be optimal escape paths from a half plane ocean. Assuming this, we find the rate of increase for both min-max and min-mean interpretations of "optimal". For the one-dimensional analog, which we call logarithmic coils, our min-mean solution differs from a widely-cited published account.

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