Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $p\lambda n$ fractal decomposition: Nontrivial partitions of
  conserved physical quantities   A mathematical method for constructing fractal curves and surfaces, termed
the $p\lambda n$ fractal decomposition, is presented. It allows any function to
be split into a finite set of fractal discontinuous functions whose sum is
equal everywhere to the original function. Thus, the method is specially suited
for constructing families of fractal objects arising from a conserved physical
quantity, the decomposition yielding an exact partition of the quantity in
question. Most prominent classes of examples are provided by Hamiltonians and
partition functions of statistical ensembles: By using this method, any such
function can be decomposed in the ordinary sum of a specified number of terms
(generally fractal functions), the decomposition being both exact and valid
everywhere on the domain of the function.

13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics