Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Commutative Stochastic Processes and Bi-Free Probability   In this paper, a connection between bi-free probability and the theory of
non-commutative stochastic processes is examined. Specifically it is
demonstrated that the transition operators for non-commutative stochastic
processes can be modelled using technology from bi-free probability. Several
important examples are recovered with this approach and new formula are
obtained for processes with free increments. The benefits of this approach are
also discussed.

35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int