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- W4297668125 abstract "I study a class of action functionals on the space of unparameterized oriented rectifiable curves in R^n. The local action is a degenerate type of Finsler metric that may vanish in certain directions, thus allowing for curves with positive Euclidean length but zero action. Given two sets A_1 and A_2, I develop criteria under which there exists a minimum action curve leading from A_1 to A_2. I then study the properties of these minimizers, and I prove the non-existence of minimizers in some situations. Applied to a geometric reformulation of the quasipotential of large deviation theory, my results can prove the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise." @default.
- W4297668125 created "2022-09-30" @default.
- W4297668125 creator A5076790156 @default.
- W4297668125 date "2010-04-27" @default.
- W4297668125 modified "2023-10-17" @default.
- W4297668125 title "Existence and Properties of Minimum Action Curves for Degenerate Finsler Metrics" @default.
- W4297668125 doi "https://doi.org/10.48550/arxiv.1004.4873" @default.
- W4297668125 hasPublicationYear "2010" @default.
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