lean4-ergodic-theory good first issues (Lean)

Livšic for flows with regularity: metrized suspension, Hölder transfer, variable roofs (the classical flow theorem proper) 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Statistical laws on the cat system: exponential Hölder decay, CLT, and finite-sample estimation bounds for entropy/exponents 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

A genuinely non-commutative sealed dynamics: CNT-positive + strict data-processing drop + Petz no-recovery beyond the abelian corner 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Adler–Weiss coding as a measure-theoretic factor — genuine sub-worlds of the cat system + the depth-2 flow tower on one lineage 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Livšic flow tier III: the iff for suspension flows (seam-gluing) — flow-level demarcation on the cat suspension 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Quotient-level suspension FlowCocycle via measurable trivialization — let the apparatus consume the flow's OWN derivative 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Cat-map entropy (W2): positivity via symbolic coding, sharp value h = log((3+√5)/2) via Adler–Weiss 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Cat-map eigenfunction rigidity (hspec) — the single missing input for irrational-roof cat-suspension time-1 ergodicity 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Abramov–Rokhlin completion: discharge the B6a partition identity and add the suspension-flow entropy descent h_flow = h_base/∫τ 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Livšic IV: flow tier — periodic-orbit obstruction and coboundaries for suspension flows 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Time-1 ergodicity of suspension flows (irrational constant roof) — unblock the restricted-exponent apparatus on the cat suspension 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Worked example: suspension flow of a smooth Anosov base carrying its OWN derivative-cocycle flow Lyapunov exponent (λ_flow = λ_base/∫τ) 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

Livšic cohomology: coboundary ⇔ vanishing periodic-orbit sums (non-entropic no-section obstruction for hyperbolic systems) 4 months ago

enhancement help wanted

marcmorningstar/lean4-ergodic-theory

1

A Lean 4 + Mathlib formalization of the Oseledets multiplicative ergodic theorem (MET), with a leanblueprint and doc-gen4 documentation.

Lean

#ergodic-theory#formal-methods#formalization#lean#lean4#lyapunov-exponents#mathematics#mathlib

marcmorningstar/lean4-ergodic-theory

Open Issues Need Help