2004/11/23 by Steven R. Finch, Finch, Steven R., John A Shonder +1
Mathematics · #49Nxx #51M16 #52A40 #60D05 #90C47 #FOS: Mathematics #Metric Geometry (math.MG) #Optimization and Control (math.OC) #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.math/0411518
openalex publication_date 2004/11/23 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28
What is the path of minimum expected length for escaping a planar convex region Omega? We rigorously obtain best 2-segment and 3-segment solutions when Omega is an infinite strip, and numerically examine 2-segment solutions when Omega is a disk.