Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-sure Existence of Gaussian Rough Paths and Large Deviation
  Principles for Capacities   We construct a quasi-sure version (in the sense of Malliavin) of geometric
rough paths associated with a Gaussian process with long-time memory. As an
application we establish a large deviation principle (LDP) for capacities for
such Gaussian rough paths. Together with Lyons' universal limit theorem, our
results yield immediately the corresponding results for pathwise solutions to
stochastic differential equations driven by such Gaussian process in the sense
of rough paths. Moreover, our LDP result implies the result of Yoshida on the
LDP for capacities over the abstract Wiener space associated with such Gaussian
process.

9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom