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- W3044992816 abstract "We identify a fundamental phenomenon of heterogeneous one dimensional random walks: the escape (traversal) time is maximized when the heterogeneity in transition probabilities forms a pyramid-like potential barrier. This barrier corresponds to a distinct arrangement of transition probabilities, sometimes referred to as the pendulum arrangement. We reduce this problem to a sum over products, combinatorial optimization problem, proving that this unique structure always maximizes the escape time. This general property may influence studies in epidemiology, biology, and computer science to better understand escape time behavior and construct intruder-resilient networks." @default.
- W3044992816 created "2020-07-29" @default.
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- W3044992816 date "2020-07-26" @default.
- W3044992816 modified "2023-09-27" @default.
- W3044992816 title "The Pendulum Arrangement: Maximizing the Escape Time of Heterogeneous Random Walks." @default.
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- W3044992816 hasPublicationYear "2020" @default.
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