Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of transition densities and ergodicity for affine
  jump-diffusion processes   In this paper we study the transition density and exponential ergodicity in
total variation for an affine process on the canonical state space
$\mathbb{R}_{\geq0}^{m}\times\mathbb{R}^{n}$. Under a H\"ormander-type
condition for diffusion components as well as a boundary non-attainment
assumption, we derive the existence and regularity of the transition density
for the affine process and then prove the strong Feller property. Moreover, we
also show that under these and the additional subcritical conditions the
corresponding affine process on the canonical state space is exponentially
ergodic in the total variation distance. To prove existence and regularity of
the transition density we derive some precise estimates for the real part of
the characteristic function of the process. Our ergodicity result is a
consequence of a suitable application of a Harris-type theorem based on a local
Dobrushin condition combined with the regularity of the transition densities.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an