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- W2227376306 abstract "In this chapter we begin by stating the problem of the existence of a minimum action curve, and we prove our main existence theorem, which requires all relevant points in the state space to “have local minimizers.” We then list three criteria for proving this property for a given point, each designed to target one out of three different categories of points; the key ingredient here is our newly introduced notion of “admissible manifolds.” admissible manifold After illustrating the use of these criteria with a variety of examples, we conclude with a top-level theorem that can free us from having to invoke these criteria by hand if the drift of the given action is of a certain form. The proofs of the main criteria described in Sect. 3.3 will be postponed to Chap. 6 in Part II." @default.
- W2227376306 created "2016-06-24" @default.
- W2227376306 creator A5076790156 @default.
- W2227376306 date "2015-01-01" @default.
- W2227376306 modified "2023-09-26" @default.
- W2227376306 title "Existence of Minimum Action Curves" @default.
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- W2227376306 doi "https://doi.org/10.1007/978-3-319-17753-3_3" @default.
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