Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularization effects of a noise propagating through a chain of
  differential equations: an almost sharp result   We investigate the effects of the propagation of a non-degenerate Brownian
noise through a chain of deterministic differential equations whose
coefficients are rough and satisfy a weak like H{\"o}rmander structure (i.e. a
non-degeneracy condition w.r.t. the components which transmit the noise). In
particular we characterize, through suitable counterexamples , almost sharp
regularity exponents that ensure that weak well posedness holds for the
associated SDE. As a by-product of our approach, we also derive some density
estimates of Krylov type for the weak solutions of the considered SDEs.

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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org