Source-pinned research
Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.
This index contains 70 research declarations. Search 10,000 more complete Mathlib declarations.
70 results
Clear filtersMeasureTheory.Submartingale.monotone_predictablePart_ae
Plain-language statement
For a submartingale indexed by a countable type, the predictable part is monotone a.e.
Source project: Brownian motion
Person-level attribution pending.
MeasureTheory.Submartingale.tauMesh_lt_top_eq_lt_predictableSeqTop
Plain-language statement
{τₙ(c) < 1} = {c < Aⁿ₁}.
Source project: Brownian motion
Person-level attribution pending.
MeasureTheory.uniformIntegrable_iff_tendsto_iSup_eLpNorm_indicator_norm
Plain-language statement
A family of random variables is uniformly integrable iff its L¹ tails above c tend to zero uniformly in the index.
Source project: Brownian motion
Person-level attribution pending.
MeasureTheory.uniformIntegrable_iff'
Plain-language statement
An analogue of uniformIntegrable_iff, but the nonstrict inequality in C ≤ ‖X i x‖₊ is replaced by a strict inequality.
Source project: Brownian motion
Person-level attribution pending.
predictableConvexStep_leftContinuous
Plain-language statement
predictableConvexStep is left-continuous in time.
Source project: Brownian motion
Person-level attribution pending.
predictablePart_add
Plain-language statement
The predictable part is additive for integrable processes.
Source project: Brownian motion
Person-level attribution pending.