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Basic Definitions

Basic Definitions. 1. 2. Positive Matrix: Non-negative Matrix:. Perron Theorem for Positive Matrices. 1. 2. 7. Non-Negative Matrices. 1. 2. . Irreducibility. Corresponding Graph of a Matrix. More on Irreducibility. Perron-Frobenius Theorem I. 1. 2. 6. 7.

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Basic Definitions

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  1. Basic Definitions • 1. • 2. • Positive Matrix: • Non-negative Matrix:

  2. Perron Theorem for Positive Matrices • 1. • 2. • 7.

  3. Non-Negative Matrices • 1. • 2.

  4. Irreducibility

  5. Corresponding Graph of a Matrix

  6. More on Irreducibility

  7. Perron-Frobenius Theorem I • 1. • 2. • 6. • 7.

  8. Perron-Frobenius Theorem II

  9. Primitive Matrices I

  10. Primitive Matrices II

  11. Stochastic Matrices

  12. Markov Chains I (Definitions)

  13. Markov Chains II (States)

  14. Markov Chains III (Classes)

  15. Markov Chains IV (Matrices)

  16. Markov Chains V (Stationary Distribution and Long-Run Behavior)

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