Searching for a Shoreline

Details Searching for a Shoreline Searching for a Shoreline

2005-01-09

arxiv.org/abs/math/0501123v1

Mathematics

Optimization and Control

11 pages, 3 figures

Scientific paper

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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