Invariant distributions, time reversal, and the Ergodic Theorem for long-run averages.
: Systems are often represented using state transition diagrams, where nodes are states and arrows indicate the probability of moving from one to another. Key Topics in the Norris Curriculum markov chains jr norris pdf
The textbook is structured to move logically from foundational theory to advanced applications. Key Coverage Key Coverage : A frog hopping on lily pads
: A frog hopping on lily pads. Its next jump depends only on which pad it is currently standing on, not how it arrived there. transience
Transition matrices, hitting times, absorption probabilities, and recurrence vs. transience.
Mastering Stochastic Processes: A Guide to "Markov Chains" by J.R. Norris
Norris emphasizes that Markov chains are not just theoretical; they are powerful tools for modeling real-world phenomena: Markov Chains - Cambridge University Press & Assessment
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