Stochastic stability of the invariant measure in a one-dimensional model of drilling
The author investigates stochastic perturbations of a one-dimensional mapping which is introduced to simulate the process of drilling. Under some extra hypothesis on the map it is shown that the Markov operator acting on integrable functions, which are defined by a random perturbation, has 1 as a simple eigenvalue with eigenfunction the density of the stationary distribution of the perturbation chain.
scientific article; zbMATH DE number 1294985