Search on the Brink of Chaos

Details Search on the Brink of Chaos Search on the Brink of Chaos

2011-08-11

arxiv.org/abs/1108.2498v2

Mathematics

Classical Analysis and ODEs

Scientific paper

The classical linear search problem is studied from the view point of
Hamiltonian dynamics. For the specific, yet representative case of
exponentially distributed position of the hidden object, we show that the
optimal plan follows an unstable separatrix which is present in the associated
Hamiltonian system.

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