Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic equation and exponential ergodicity in Wasserstein distances
  for affine processes   This work is devoted to the study of conservative affine processes on the
canonical state space $D = $R_+^m \times \R^n$, where $m + n > 0$. We show that
each affine process can be obtained as the pathwise unique strong solution to a
stochastic equation driven by Brownian motions and Poisson random measures.
Then we study the long-time behavior of affine processes, i.e., we show that
under first moment condition on the state-dependent and log-moment conditions
on the state-independent jump measures, respectively, each subcritical affine
process is exponentially ergodic in a suitably chosen Wasserstein distance.
Moments of affine processes are studied as well.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph