2026-06-24 (Lean 4: FORM.SPECTRALGAP.01 extended to the finite-dimensional Perron–Frobenius case)
Research changelog · TFPT — Introduction and reading guide
FORM.SPECTRALGAP.01 — the multi-dimensional case, reduced to the scalar core. The Lean module TfptCarrier/SpectralGapAttractor.lean now also proves the finite-dimensional gapped-operator statement ( lake build OK, no sorry): \ component_tendsto (a non-dominant eigencomponent [formula in source] decays, [formula in source] ); \ deviation_tendsto (with the dominant eigenvalue normalised to [formula in source] , the dev
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/changelog/sections/013-source.tex · lines 280 to 295
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- explicit script identifier v56_unique_attractor.py
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- explicit lean symbol SpectralGapAttractor.lean
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- explicit script identifier v383_dynamics_universal.py
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- cross reference join tfpt_readouts.wl
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- cross reference join tfpt_readouts_extension.wl
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- explicit file citation SpectralGapAttractor.lean
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- explicit lean symbol SpectralGapAttractor.lean
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- explicit lean symbol SpectralGapAttractor.lean
exact texttt symbol under explicit Lean/theorem context