Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-organized criticality via stochastic partial differential equations   Models of self-organized criticality, which can be described as singular
diffusions with or without (multiplicative) Wiener forcing term (as e.g. the
Bak/Tang/Wiesenfeld- and Zhang-models), are analyzed. Existence and uniqueness
of nonnegative strong solutions are proved. Previously numerically predicted
transition to the critical state in 1-D is confirmed by a rigorous proof that
this indeed happens in finite time with high probability.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph