Frontmatter -- Contents -- Preface -- Chapter I.Uniformly ergodic and strong stable markov chains -- Chapter II. Criteria for the uniform ergodicity and its properties -- Chapter III. Uniform estimates of convergence in ergodic and stability theorems -- Chapter IV. Asymptotic expansions in ergodic and stability theorems -- Chapter V. Strong stability and induced norm of perturbation -- Chapter VI. Uniform consolidation theorems -- Chapter VII. Estimates of the exponential asymptotic of markov moments -- Chapter VIII. Stability of waiting times in a queuing system -- Chapter IX. Inequalities in renyi's theorem -- Chapter X. Bibliographical notes -- References