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feat(Probability): fourth-moment conditional averaging and validated words of every length - #1707

Merged

SamuelSchlesinger merged 35 commits into

cslib-community:mainfrom

chris-ai1:feat/slice-moments-1444

Oct 31, 2026

Merged

feat(Probability): fourth-moment conditional averaging and validated words of every length#1707
SamuelSchlesinger merged 35 commits into
cslib-community:mainfrom
chris-ai1:feat/slice-moments-1444

Commits on Oct 29, 2026
- feat(Expander): uniform spectral gap for the shear-translation graph on ZMod n × ZMod n (#1444)
  
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  da700d5
- feat(Probability): retention by pairwise independent hashing (#1444)
  
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- feat(Expander): fourth-moment decay of the random walk from the spectral gap (#1682)
  
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- feat(Probability): affine retention channels over a prime field (#1682)
  
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Commits on Oct 30, 2026
- refactor(Expander): share the shears of R × R; credit the OpenAI preprint (#1444)
  
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- docs(Expander): credit the OpenAI Lean development for the Fourier ping-pong (#1444)
  
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- refactor(Expander): derive expect_walk_sq_le from sq_walk_le; cite idea 8 (#1682)
  
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  613b707
- feat(Probability): frame-conditioned channels, validated variants and conditional averaging (#1682)
  
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  53de6a3
- Merge remote-tracking branch 'origin/main' into feat/box-product-poincare-1444
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- feat(Expander): Poincaré inequalities and spectral gaps of box products of permutation multigraphs (#1682)
  
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- feat(Expander): relative Poincaré inequality for shears and translations with a spectator (#1682)
  
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- refactor(Expander): move the dftProd lemmas to ZModProd and drop import all; credit AffineSampling.lean (#1682)
  
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- feat(Expander): Efron–Stein and the pair-move bound on Y × (Fin H → ZMod L) (#1682)
  
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- doc(Probability): cite Efron–Stein and Steele; numeric Efron–Stein test (#1682)
  
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- feat(Expander): Poincaré inequality for elementary moves on nonzero vectors of (ZMod P)^H (#1682)
  
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- Merge remote-tracking branch 'fork/feat/conditional-averaging-1444' into feat/slice-gap-1444
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- Merge remote-tracking branch 'fork/feat/box-product-poincare-1444' into feat/slice-gap-1444
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- feat(Probability): uniform spectral gap of the affine walk on slice coordinates (#1682)
  
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  bc81c6a
- feat(Probability): product walk over channels and free bits with gap gamma/(J+1) (#1682)
  
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  0697cc4
- Merge remote-tracking branch 'fork/feat/walk-fourth-moment-1444' into feat/slice-moments-1444
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  daeb02b
- feat(Probability): fourth-moment conditional averaging and validated words of every length (#1682)
  
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- Merge origin/main into feat/conditional-averaging-1444
  
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- Merge origin/main into feat/shear-translation-gap-1444
  
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- Merge refreshed #1678 (30c83e230) into feat/box-product-poincare-1444
  
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- Merge refreshed #1678 (30c83e230) into feat/relative-shear-translation-1444
  
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- Merge refreshed #1695 (d72e8e9e6) into feat/coordinate-pairs-1444
  
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- Merge refreshed #1699 (71f089ecb) into feat/frame-gap-1444
  
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- Merge refreshed #1691 (ae99b483b) into feat/slice-gap-1444
  
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- Merge refreshed #1703 (efd5aa27b) into feat/slice-gap-1444
  
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- Merge refreshed #1693 (3860f88e0) into feat/slice-gap-1444
  
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- Merge refreshed #1705 (8804d42c4) into feat/component-gap-1444
  
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- Merge origin/main into feat/walk-fourth-moment-1444
  
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- Merge refreshed #1706 (60f2b4ece) into feat/slice-moments-1444
  
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- Merge refreshed #1685 (31146aea6) into feat/slice-moments-1444
  
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  4e683ca
Commits on Oct 31, 2026
- Merge actual main into feat/slice-moments-1444
  SamuelSchlesinger
  committed
  b1faa2b

Commits

Commits on Oct 29, 2026

Commits on Oct 30, 2026

Commits on Oct 31, 2026