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# edu-urpp
title: 'Markov lesson: Stationary Distributions'
status: completed
type: task
priority: high
created_at: 2026-03-10T23:30:01Z
updated_at: 2026-03-10T23:30:01Z
---
Write Section 9 of edu/markov.md: 'Stationary Distributions'\n\nLearning objectives:\n- Define stationary distribution π: πP = π, Σπᵢ = 1\n- Explain existence and uniqueness conditions: irreducibility and aperiodicity\n- Show how to compute π analytically for a 2-state chain\n- Introduce power iteration as a numerical method\n- Connect to the long-run frequency interpretation from the simulation in Exercise 1\n\nContent to produce:\n- 4–6 paragraphs of prose\n- Worked 2×2 example: solve πP = π by hand\n- Power iteration pseudocode or brief Rust sketch\n\nTarget: replace the stub in edu/markov.md §9