Theorems · Theorem · probability
ProbabilityTheory.Kernel.IsReversible.invariant
∀ {α : Type u_1} {mα : MeasurableSpace α} {κ : ProbabilityTheory.Kernel α α} [ProbabilityTheory.IsMarkovKernel κ]
{π : MeasureTheory.Measure α}, κ.IsReversible π → κ.Invariant πA reversible Markov kernel leaves the measure π invariant.
- Defined in
- Mathlib.Probability.Kernel.Invariance
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- one_mulproof · cited by 2,841
- MeasureTheory.Measure.restrictproof · cited by 1,646
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.Measure.extproof · cited by 308
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