 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-4/26j/a/i/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

μ

T

-invariant when

μ (T^{- 1} A) = μ (A) for every A \in A .

Equivalently, the pushforward measure satisfies

T_{*} μ = μ

, so

T

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