If you can solve 70% of Norris’s exercises, you have mastered Markov chains at a Cambridge-level standard. While Norris is excellent, it may not be for everyone. Consider these alternatives if you find the PDF too challenging.
The problem teaches you more than a whole chapter of a different textbook. It forces you to understand generating functions, hitting times, and state classification simultaneously. markov chains jr norris pdf
| Book | Best for | Difficulty | | :--- | :--- | :--- | | | Theoretical rigor, concise proofs | Advanced | | Ross (2019) | Applied probability, examples in R/Python | Intermediate | | Durrett (2019) | Measure-theoretic probability, convergence theorems | Advanced+ | | Levin, Peres & Wilmer (2009) | Mixing times, modern algorithmic applications | Intermediate+ | If you can solve 70% of Norris’s exercises,
If you decide to study from Norris, remember the golden rule: Work every exercise. Derive every lemma. By the time you finish Chapter 3, you will not only understand Markov chains; you will think like a probabilist. The problem teaches you more than a whole