Theorems · Theorem · dynamical systems
Ergodic.smul_measure
∀ {α : Type u_1} {m : MeasurableSpace α} {f : α → α} {μ : MeasureTheory.Measure α} {R : Type u_2}
[inst : SMul R ENNReal] [inst_1 : IsScalarTower R ENNReal ENNReal], Ergodic f μ → ∀ (c : R), Ergodic f (c • μ)- Defined in
- Mathlib.Dynamics.Ergodic.Ergodic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SMulIsScalarTower
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- IsScalarTowerstatement and proof · cited by 3,896
- Ergodicstatement and proof · cited by 48
- Ergodic.toMeasurePreservingproof · cited by 12
- Ergodic.toPreErgodicproof · cited by 7
- MeasureTheory.MeasurePreserving.smul_measureproof · cited by 3
- PreErgodic.smul_measureproof · cited by 2
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