Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sufficient conditions for memory kernel master equation   We derive sufficient conditions for the memory kernel which guarantee
legitimate (completely positive and trace-preserving) dynamical map. It turns
out that these conditions provide a natural parameterizations of the dynamical
map being a generalization of Markovian semigroup. It is shown that this class
of maps cover almost all known examples -- from Markovian semigroup,
semi-Markov evolution up to collision models and their generalization.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas