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• W2952556072 abstract "We explore situations in which certain stochastic and high-dimensional deterministic systems behave effectively as low-dimensional dynamical systems. We define and study moment maps, maps on spaces of low-order moments of evolving distributions, as a means of understanding equations-free multiscale algorithms for these systems. We demonstrate how nonlinearity arises in these maps and how this results in the stabilization of metastable states. Examples are shown for a hierarchy of models, ranging from simple stochastic differential equations to molecular dynamics simulations of a particle in contact with a heat bath." @default.
• W2952556072 created "2019-06-27" @default.
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• W2952556072 date "2005-08-23" @default.
• W2952556072 modified "2023-10-18" @default.
• W2952556072 title "The Moment Map: Nonlinear dynamics of density evolution via a few moments" @default.
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• W2952556072 doi "https://doi.org/10.48550/arxiv.cond-mat/0508551" @default.
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