Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rolling with Random Slipping and Twisting: A Large Deviation Point of
  View   We study a rolling model from the perspective of probability. More precisely,
we consider a Riemannian manifold rolling against Euclidean space, where the
rolling is coupled with random slipping and twisting. The system is modelled by
a stochastic differential equation of Stratonovich-type driven by
semimartingales, on the orthonormal frame bundle. The stability of the system
is examined via large deviations. We prove the large deviation principles for
the projection curves on the base manifold and their horizontal lifts
respectively, provided that the large deviation holds for the random Euclidean
curves as semimartingales. The large deviation results for the case of compact
manifolds and two special cases of noncompact manifolds are established.

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th