Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of diffusions and their discretizations: from continuous to
  discrete processes and back   In this paper, we establish new quantitative convergence bounds for a class
of functional autoregressive models in weighted total variation metrics. To
derive our results, we show that under mild assumptions, explicit minorization
and Foster-Lyapunov drift conditions hold. The main applications and
consequences of the bounds we obtain concern the geometric convergence of
Euler-Maruyama discretizations of diffusions with identity covariance matrix.
Second, as a corollary, we provide a new approach to establish quantitative
convergence of these diffusion processes by applying our conclusions in the
discrete-time setting to a well-suited sequence of discretizations whose
associated stepsizes decrease towards zero.

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph