Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Homology. Reduction Formulas for Computing Stochastic Betti
  Numbers of Maximal Random Complexes with Discrete Probabilities. Computation
  and Applications   Given a chain complex with the only modification that each cell of the
complex has a probability distribution assigned. We will call this complex - a
random complex and what should be understood in practice, is that we have a
classical chain complex whose cells appear and disappear according to some
probability distributions. In this paper, we will try to find the stochastic
homology of random complex, whose simplices have independent discrete
distributions.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat