Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological field theory of dynamical systems. II   This paper is a continuation of the study [Chaos.22.033134] of the relation
between the stochastic dynamical systems (DS) and the Witten-type topological
field theories (TFT). Here, it is discussed that stochastic expectation values
of a DS must be complemented on the TFT side by $(-1)^{\hat F}$, where $\hat F$
is the ghost number operator. The role of this inclusion is to unfold the
natural path-integral representation of the TFT, \emph{i.e.}, the Witten index
that equals up to a topological factor to the partition function of the
stochastic noise, into the physical partition function of TFT/DS. It is also
shown that on the DS side, the TFT's wavefunctions are the conditional
probability densities.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg