Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subexponential upper and lower bounds in Wasserstein distance for Markov
  processes   In this article, relying on Foster-Lyapunov drift conditions, we establish
subexponential upper and lower bounds on the rate of convergence in the
$\mathrm{L}^p$-Wasserstein distance for a class of irreducible and aperiodic
Markov processes. We further discuss these results in the context of Markov
L\'evy-type processes. In the lack of irreducibility and/or aperiodicity
properties, we obtain exponential ergodicity in the $\mathrm{L}^p$-Wasserstein
distance for a class of It\^{o} processes under an asymptotic flatness (uniform
dissipativity) assumption. Lastly, applications of these results to specific
processes are presented, including Langevin tempered diffusion processes,
piecewise Ornstein-Uhlenbeck processes with jumps under constant and stationary
Markov controls, and backward recurrence time chains, for which we provide a
sharp characterization of the rate of convergence via matching upper and lower
bounds.

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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol