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Searching for a Shoreline

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arxiv math/0501123 v2 pith:IDJPDNSP submitted 2005-01-09 math.OC math.MG

Steven R. Finch , Li-Yan Zhu This is my paper · ORCID
classification math.OCmath.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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Disk and Partial Disk Inspection: Worst- to Average-Case and Pareto Upper Bounds

    cs.DM 2024-11 conditional novelty 6.0 of 10

    New upper bounds and Pareto curves for average-case disk-perimeter inspection, plus a complete worst-case solution for inspecting any arc, improving on Isbell (1957) and correcting Gluss (1961).

  2. Geometric Structure of Ends of Ricci Shrinkers

    math.DG 2025-08 unverdicted novelty 5.0 of 10

    Blow-up limits of Ricci shrinkers based at Type I scalar curvature points split a line, with smooth convergence in dimension four.

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