Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced Markovian descriptions of the Brownian oscillator. Towards an
  exact theory   We discuss the derivation of a reduction scheme for a harmonically bound
Brownian particle in the overdamped regime. The contracted description complies
with the prescriptions of the invariant manifold theory and allows to encompass
and generalize the Smoluchowski equation. The drift coefficient of the reduced
dynamics is obtained via an exact summation of the Chapman-Enskog expansion,
whereas the diffusion coefficient is established via the
Fluctuation-Dissipation Theorem. A quantitative pointwise representation of the
reduction error is also provided and connections to both the Maximum Entropy
method and the linear response theory are highlighted. Our study paves the way
to the development of model reduction procedures applicable to more general
diffusion processes with non-linear drift terms.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg