Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General formulation of Luria-Delbr{\"u}ck distribution of the number of
  mutants   The Luria-Delbr{\"u}ck experiment is a cornerstone of evolutionary theory,
demonstrating the randomness of mutations before selection. The distribution of
the number of mutants in this experiment has been the subject of intense
investigation during the last 70 years. Despite this considerable effort, most
of the results have been obtained under the assumption of constant growth rate,
which is far from the experimental condition. We derive here the properties of
this distribution for arbitrary growth function, for both the deterministic and
stochastic growth of the mutants. The derivation we propose uses the number of
wild type bacteria as the independent variable instead of time. The derivation
is surprisingly simple and versatile, allowing many generalizations to be taken
easily into account.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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: atom-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph