Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and Properties of Minimum Action Curves for Degenerate Finsler
  Metrics   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.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org