Markov Models of Genomic Events

Abstract

The Markov Models of genomic elements are newly considered. The representation of the fundamental matrix of the Markov model is newly theorised. The order of magnitude of the initial conditions for the elements of the transition probabilities is newly hypothesised. The model is compared with a sub-Hidden Markov Model of genomic events. The chosen representation of the states is newly proven to consist of an enveloping algebra. The new condition is posed on the Markovian feature of the originating chain from the study of the elements of the loci of the state space; in this case, the choice of the representation of the probability matrix is analytically spelled out, and Monte Carlo methods are not necessitated.