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math.PR2026
Straight-line optimality in Bellman's lost-in-a-forest problem for Euclidean balls
David Treeby, Edward Wang
We prove that among all unit-speed paths, a straight line minimises the expected escape time from a ball in , solving the min-mean variant of Bellman's Lost~in~a~Fore…
math.PR2026
Pick-up Sticks and the Fibonacci Factorial
Aidan Sudbury, Arthur Sun, David Treeby +1
We present a variation of the broken stick problem in which stick lengths are sampled uniformly at random. We prove that the probability that no three sticks can form a triangl…