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    doi = "10.1137/060670420",
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    title = "From a market of dreamers to economical shocks",
    journal = "Physica A",
    year = "2004",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190109-105904110",
    id = "record",
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    title = "Averaging Versus Chaos in Turbulent Transport?",
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