Equally spaced drifts maximize the speed of one-dimensional random walks
Equally spaced drifts maximize the speed of one-dimensional random walks
Consider random walks in environments on composed of two types, and , where . Equally spaced drifts conjecture. An environment which maximizes the speed is given, up to some integer effect, by equally spaced drifts. The conjecture proposes the speed-maximizing arrangement for these two-point environments; the source does not state a resolution, so its status remains open.
Sources & referencesView supporting material
Primary source
Eviatar B. Procaccia and Ron Rosenthal, “The need for speed : Maximizing random walks speed on fixed environments”, arXiv:1109.0832 (2012).
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