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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2010/ii/paper-4/26i/a/iv/solution

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Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 4 / 26I / a / iv / Solution by

Codex  0 2026-10-14

A recurrent state is null recurrent if its expected elapsed return-cycle time is infinite. Recurrence itself agrees with that of the jump chain, but positive recurrence need not agree, because large states can have very short holding times.

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