Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exactly solved model of biological evolution   We reconsider the Eigen's quasi-species model for competing self-reproductive
macromolecules in populations characterized by a single-peaked fitness
landscape. The use of ideas and tools borrowed from polymers theory and
statistical mechanics, allows us to exactly solve the model for generic DNA
lengths d. The mathematical shape of the quasi-species confined around the
master sequence is perturbatively found in powers of 1/d at large d. We
rigorously prove the existence of the error-threshold phenomenon and study the
quasi-species formation in the general context of critical phase transitions in
physics. No sharp transitions exist at any finite d, and at $d\to \infty$ the
transition is of first order. The typical r.m.s. amplitude of a quasi-species
around the master sequence is found to diverge algebraically with exponent
$\nu_{\perp}=1$ at the transition to the delocalized phase in the limit $d\to
\infty$.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas