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Markov Chain Calculator
n-step state distribution, steady-state vector via power iteration, absorbing states — SVG state diagram.
Presets
Transition Matrix
States:2
S₁
S₂
Sum
S₁
1
S₂
1
State Diagram
arrow thickness ∝ probability
n-Step Distribution
S₁:
S₂:
P(S₁) after 5 steps0.5725
P(S₂) after 5 steps0.4275
Steady-State Vector π
π(S₁)0.5714
π(S₂)0.4286
πP = π via power iteration (ε = 10⁻⁵, max 1000 iter)
n-step: π₀ · Pⁿ via repeated squaring
n-step: π₀ · Pⁿ via repeated squaring