Markov Set-Chains

In This Study Extending Classical Markov Chain Theory To Handle Fluctuating Transition Matrices, The Author Develops A Theory Of Markov Set-chains And Provides Numerous Examples Showing How That Theory Can Be Applied. Chapters Are Concluded With A Discussion Of Related Research. Readers Who Can Benefit From This Monograph Are Those Interested In, Or Involved With, Systems Whose Data Is Imprecise Or That Fluctuate With Time. A Background Equivalent To A Course In Linear Algebra And One In Probability Theory Should Be Sufficient. 0. Introduction -- 1. Stochastic Matrices And Their Variants -- 2. Introduction To Markov Set-chains -- 3. Convergence Of Markov Set-chains -- 4. Behavior In Markov Set-chains -- App. A.1. Norms -- App. A.2. Operations On Compact Sets -- App. A.3. Convex Sets, Polytopes, And Vertices -- App. A.4. Distance On Compact Sets -- App. A.5. Probability Results. Darald J. Hartfiel. Includes Bibliographical References And Index. Letcure Notes in Mathematics......Page 1 Chap 0 Introduction......Page 8 Chap 1 Stochastics Matrices and Their Variants......Page 10 Chap 2 Introduction to Markov Set Chains......Page 33 Chap 3 Convergence of Markov Set-Chains......Page 64 Chap 4 Behavior in Markov Set-Chains......Page 95 Appendix......Page 118