Dobrushin Coefficients of Ergodicity and Asymptotically Stable L 1-Contractions

Radu Zaharopol and Gheorghita Zbaganu
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Radu Zaharopol: S.U.N.Y. at Binghamton
Gheorghita Zbaganu: The University of Bucharest

Journal of Theoretical Probability, 1999, vol. 12, issue 4, 885-902

Abstract: Abstract We extend an inequality (which involves the Dobrushin coefficient of ergodicity; see Cohen et al.(4)) to any linear bounded operator with domain and codomain L 1-spaces. We use the extended Dobrushin coefficient of ergodicity, that appears in the inequality, in order to obtain sufficient conditions for the uniform asymptotic stability of a positive contraction of an L 1-space. We conclude the paper by studying a class of strongly asymptotically stable positive contractions.

Keywords: Asymptotic stability; coefficients of ergodicity; complete mixing; stochastic operators (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021684818286

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