12 citations · 12 across the 3 of their papers we have counts for
3 papers
q-bio.QM2008
Inference of higher order substitution dynamics by Markov chain lumping
Olof Görnerup, Martin Nilsson Jacobi
We apply Markov chain lumping techniques to aggregate codons from an empirical substitution matrix. The standard genetic code as well as higher order amino acid substitution groups…
math.PR2007★ 12 cited
A dual eigenvector condition for strong lumpability of Markov chains
Martin Nilsson Jacobi, Olof Goernerup
Necessary and sufficient conditions for identifying strong lumpability in Markov chains are presented. We show that the states in a lump necessarily correspond to identical element…
nlin.AO2007
A method for inferring hierarchical dynamics in stochastic processes
Olof Görnerup, Martin Nilsson Jacobi
Complex systems may often be characterized by their hierarchical dynamics. In this paper do we present a method and an operational algorithm that automatically infer this property…