Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Couplings, gradient estimates and logarithmic Sobolev inequality for
  Langevin bridges   In this paper we establish quantitative results about the bridges of the
Langevin dynamics and the associated reciprocal processes. They include an
equivalence between gradient estimates for bridge semigroups and couplings,
comparison principles, bounds of the distance between bridges of different
Langevin dynamics, and a Logarithmic Sobolev inequality for bridge measures.
The existence of an invariant measure for the bridges is also discussed and
quantitative bounds for the convergence to the invariant measure are proved .
All results are based on a seemingly new expression of the drift of a bridge in
terms of the reciprocal characteristic, which, roughly speaking, quantifies the
" mean acceleration " of a bridge.

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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg