Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introducing sub-Riemannian and sub-Finsler Billiards   We define billiards in the context of sub-Finsler Geometry. We provide
symplectic and variational (or rather, control theoretical) descriptions of the
problem and show that they coincide. We then discuss several phenomena in this
setting, including the failure of the reflection law to be well-defined at
singular points of the boundary distribution, the appearance of gliding and
creeping orbits, and the behavior of reflections at wavefronts. We then study
some concrete tables in 3-dimensional euclidean space endowed with the standard
contact structure. These can be interpreted as planar magnetic billiards, of
varying magnetic strength, for which the magnetic strength may change under
reflection. For each table we provide various results regarding periodic
trajectories, gliding orbits, and creeping orbits.

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The categories of this paper are: cs
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph