MATH362: Chapters 9 and 10 Crossword

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Across
  1. 2. Sum of probabilities equals one
  2. 4. Irreducible aperiodic positive recurrent
  3. 10. Unchanged by application of transition matrix
  4. 11. state Long run probability distribution
  5. 12. Condition π_i p_ij = π_j p_ji
  6. 13. Only one stationary distribution
  7. 14. Distribution converges to equilibrium
  8. 15. Recurrent with finite mean return time
  9. 17. Long run distribution
  10. 18. Single communicating class
Down
  1. 1. Distribution invariant under transitions
  2. 3. Greatest common divisor of return times
  3. 5. Period equal to one
  4. 6. Limit of n step transition probabilities
  5. 7. Long run behaviour of Markov chains
  6. 8. Chain with finite state space
  7. 9. Chain satisfying detailed balance
  8. 16. Recurrent with infinite mean return time