Stochastic stability of the invariant measure in a one-dimensional model of drilling
type: Item
instance of: scholarly article
title: Stochastic stability of the invariant measure in a one-dimensional model of drilling
zbMATH Open document ID: 0941.37023
DOI: 10.1007/BF02314855
author: G. Chakvetadze
published in: Mathematical Notes
publication date: 2000-08-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37H10
zbMATH DE Number: 1294985
zbMATH Keywords: one-dimensional mapping
zbMATH Keywords: Markov operator
zbMATH Keywords: random perturbation
MaRDI profile type: Publication
cites work: On the ergodicity of a model of drilling
cites work: On the spectra of randomly perturbed expanding maps
cites work: Small perturbations of quasistochastic dynamical systems
cites work: Ergodic properties of invariant measures for piecewise monotonic transformations
cites work: Erratum: On the spectra of randomly perturbed expanding maps
full work available at URL: https://doi.org/10.1007/bf02314855
OpenAlex ID: W1979065050
description: scientific article; zbMATH DE number 1294985