Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic differential equations: loss of the Markov property by
  multiplicative noise   The solutions of SDEs with multiplicative noise are not Markovian. On a
coarse-grained time scale they still are, but only in the "anti-Ito" case. This
allows a simple computation of the most likely path. Any density peak moves
along such a path, and its shape evolves according to further analytical
formulas. This even provides some new insights into the asymptotic densities
for large times, e.g. the criterion for attaining a quiescent steady state.

7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph