Absorbing Chain Outcome Workbench

How to use Absorbing Chain Outcome Workbench

Check exact row probabilities and positive-edge reachability, solve the fundamental linear equations and verify first-step time and probability conservation witnesses.

1. Use the example as the schema; replace its labels and entered model assumptions.
2. Check exact row probabilities and positive-edge reachability, solve the fundamental linear equations and verify first-step time and probability conservation witnesses.
3. Calculate, inspect the complete witnesses and limitations, then copy or download the JSON report.

Good to know

• 1–12 distinct states and at most 8 nonabsorbing states. Every probability is a nonnegative decimal string at most 1; rows must sum exactly to 1.
• An absorbing state has self-transition 1. Every other state must reach one through positive edges; closed nonabsorbing classes are refused. Stationary distributions, time-varying transitions, continuous time and real-world transition estimation are outside this model.
• Local calculation with no upload, input persistence or outside lookup. Model JSON is limited to 30,000 characters and 10,000 values. Decimal quantities are strings with up to six places; count fields use plain JSON integers. Exact fractions are capped at 8,192 bits. The complete JSON output is limited to 1,000,000 characters; approximate numbers preserve their stored values. Unsupported states fail explicitly.