Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Stochastic Generators of Completely Positive Cocycles   A characterisation of the generators of quantum stochastic cocycles of
completely positive (CP) maps is given in terms of the complete dissipativity
(CD) of its form-generator. The pseudo-Hilbert dilation of the stochastic
form-generator and the pre-Hilbert dilation of the corresponding dissipator is
found. The general form of the linear continuous structural maps for the
algebra of all bounded operators is derived and the quantum stochastic flow for
the corresponding cocycle is outlined. It is proved that any w*-analytical
bounded CD form-generator give rise to a quantum stochastic CP cocycle over a
von Neumann algebra.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin