Denumerable Markov Chains
Generating Functions, Boundary Theory, Random Walks on Trees
Wolfgang Woess
Graz University of Technology, Austria
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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload pp. v–vi | |
| ContentsDownload pp. vii–viii | |
| IntroductionDownload pp. ix–xvii | |
| 1 | Preliminaries and basic factspp. 1–27 |
| 2 | Irreducible classespp. 28–42 |
| 3 | Recurrence and transience, convergence, and the ergodic theorempp. 43–77 |
| 4 | Reversible Markov chainspp. 78–115 |
| 5 | Models of population evolutionpp. 116–152 |
| 6 | Elements of the potential theory of transient Markov chainspp. 153–178 |
| 7 | The Martin boundary of transient Markov chainspp. 179–218 |
| 8 | Minimal harmonic functions on Euclidean latticespp. 219–225 |
| 9 | Nearest neighbour random walks on treespp. 226–296 |
| Solutions of all exercisespp. 297–337 | |
| Bibliographypp. 339–344 | |
| List of symbols and notationpp. 345–347 | |
| Indexpp. 349–351 |