What is Markov Chains Calculator and Why it Matters?
Markov chains model memoryless processes. The stationary distribution describes long-run behavior used in PageRank and queueing.
Mathematical Formula and Theory
Solve πP=π together with Σπᵢ=1 for the unique steady-state vector of an irreducible aperiodic chain.
How to Use This Calculator - Step by Step
- Enter the row-stochastic transition matrix.
- Click Find Steady State.
Solved Example with Full Calculation
P=[[0.9,0.1],[0.5,0.5]] yields π≈[0.833,0.167].