title: On evolution operators of genetic coalgebras.
abstract: We characterize evolutionary operators acting on coalgebras with genetic realization modeling the backwards genetic inheritance in Mendelian genetic systems. This characterization is made in terms of the different slices of the cubic stochastic matrix of type (1,2) given by the transition probabilities defining the genetic coalgebra comultiplication. We use the obtained characterization to describe all possible equilibrium states a genetic population can reach when tracing the genetic information one generation back.
authors.affiliation: Department of Statistics and Operative Research, Public University of Navarre, 31006, Pamplona, Spain. irene.paniello@unavarra.es.
authors.forename: Irene
authors.initials: I
authors.lastname: Paniello
mesh_terms: D005075:Biological Evolution; D005828:Genetics, Population; D008957:Models, Genetic; D011336:Probability
keywords: Cubic stochastic matrix; Evolution operator; Genetic coalgebra