Repeat distributions from unequal crossovers

Michael Baake. "Repeat distributions from unequal crossovers." Banach Center Publications 80.1 (2008): 53-70. <http://eudml.org/doc/281600>.

@article{MichaelBaake2008,
abstract = {It is a well-known fact that genetic sequences may contain sections with repeated units, called repeats, that differ in length over a population, with a length distribution of geometric type. A simple class of recombination models with single crossovers is analysed that result in equilibrium distributions of this type. Due to the nonlinear and infinite-dimensional nature of these models, their analysis requires some nontrivial tools from measure theory and functional analysis, which makes them interesting also from a mathematical point of view. In particular, they can be viewed as quadratic, hence nonlinear, analogues of Markov chains.},
author = {Michael Baake},
journal = {Banach Center Publications},
keywords = {recombination; crossover dynamics; quadratic operators; stationary distributions; generating functions},
language = {eng},
number = {1},
pages = {53-70},
title = {Repeat distributions from unequal crossovers},
url = {http://eudml.org/doc/281600},
volume = {80},
year = {2008},
}

TY - JOUR
AU - Michael Baake
TI - Repeat distributions from unequal crossovers
JO - Banach Center Publications
PY - 2008
VL - 80
IS - 1
SP - 53
EP - 70
AB - It is a well-known fact that genetic sequences may contain sections with repeated units, called repeats, that differ in length over a population, with a length distribution of geometric type. A simple class of recombination models with single crossovers is analysed that result in equilibrium distributions of this type. Due to the nonlinear and infinite-dimensional nature of these models, their analysis requires some nontrivial tools from measure theory and functional analysis, which makes them interesting also from a mathematical point of view. In particular, they can be viewed as quadratic, hence nonlinear, analogues of Markov chains.
LA - eng
KW - recombination; crossover dynamics; quadratic operators; stationary distributions; generating functions
UR - http://eudml.org/doc/281600
ER -