Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: It\^o versus Stratonovich in a stochastic cosmological model   In this work we study a stochastic version of the Friedmann acceleration
equation. This model has been proposed in the cosmology literature as a
possible explanation of the uncertainty found in the experimental
quantification of the Hubble parameter. Its noise has been tacitly interpreted
in the Stratonovich sense. Herein we prove that this interpretation leads to a
positive probability of finite time blow-up of the solution, that is, of the
Hubble parameter. In contrast, if we just modify the noise interpretation to
that of It\^o, then the solution globally exists almost surely. Moreover, the
expected asymptotic behavior is found under this interpretation too.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph