title: Contractivity of a Markov operator on the space of normalised positive distributions.
abstract: The goal of the article is to establish the contractivity, on the space of normalised positive distributions, of a certain class of Markov operators defined by stochastic kernels. The motivation for this work is the promising use of stationary densities in characterising convergence properties of a certain class of discrete-time random algorithms, especially when the so-called associated ordinary differential equation has multiple asymptotically stable equilibria, and no other stable structures.
authors.affiliation: Department of Mathematics, Memorial University of Newfoundland, Corner Brook, NL, A2H 6P9, Canada. incube@grenfell.mun.ca
authors.forename: Israel
authors.initials: I
authors.lastname: Ncube
mesh_terms: D008390:Markov Chains; D016571:Neural Networks, Computer; D013997:Time Factors