Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Evolutionary Reduction Principle for Linear Variation in Genetic
  Transmission   The evolution of genetic systems has been analyzed through the use of
modifier gene models, in which a neutral gene is posited to control the
transmission of other genes under selection. Analysis of modifier gene models
has found the manifestations of an "evolutionary reduction principle": in a
population near equilibrium, a new modifier allele that scales equally all
transition probabilities between different genotypes under selection can invade
if and only if it reduces the transition probabilities. Analytical results on
the reduction principle have always required some set of constraints for
tractability: limitations to one or two selected loci, two alleles per locus,
specific selection regimes or weak selection, specific genetic processes being
modified, extreme or infinitesimal effects of the modifier allele, or tight
linkage between modifier and selected loci. Here, I prove the reduction
principle in the absence of any of these constraints, confirming a twenty-year
old conjecture. The proof is obtained by a wider application of Karlin's
Theorem 5.2 (1982) and its extension to ML-matrices, substochastic matrices,
and reducible matrices.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg