Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost sure contraction for diffusions on $\mathbb R^d$. Application to
  generalised Langevin diffusions   In the case of diffusions on $\mathbb R^d$ with constant diffusion matrix,
without assuming reversibility nor hypoellipticity, we prove that the
contractivity of the deterministic drift is equivalent to the constant rate
contraction of Wasserstein distances $\mathcal W_p$, $p\in[1,\infty]$. It also
implies concentration inequalities for ergodic means of the process. Such a
contractivity property is then established for some non-equilibrium chains of
anharmonic oscillators and for some generalised Langevin diffusions when the
potential is convex with bounded Hessian and the friction is sufficiently high.
This extends previous known results for the usual (kinetic) Langevin diffusion.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph