Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tube estimates for diffusion processes under a weak H\"ormander
  condition   We consider a diffusion process under a local weak H\"{o}rmander condition on
the coefficients. We find Gaussian estimates for the density in short time and
exponential lower and upper bounds for the probability that the diffusion
remains in a small tube around a deterministic trajectory (skeleton path),
explicitly depending on the radius of the tube and on the energy of the
skeleton path. We use a norm which reflects the non-isotropic structure of the
problem, meaning that the diffusion propagates in $\mathbb{R}^2$ with different
speeds in the directions $\sigma$ and $[\sigma,b]$. We establish a connection
between this norm and the standard control distance.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom