Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density bounds for solutions to differential equations driven by
  Gaussian rough paths   We consider finite dimensional rough differential equations driven by
centered Gaussian processes. Combining Malliavin calculus, rough paths
techniques and interpolation inequalities, we establish upper bounds on the
density of the corresponding solution for any fixed time $t>0$. In addition, we
provide Varadhan estimates for the asymptotic behavior of the density for small
noise. The emphasis is on working with general Gaussian processes with
covariance function satisfying suitable abstract, checkable conditions.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th