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Deterministic support-drift principle with bounded-capacity witness and reproducible artifacts

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inaciovasquez2020/support-drift

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Support Drift

This repository provides a Lean 4 formalization of the Support Drift concept: a geometric bound on how the support of a probability measure can change under constrained transformations.

It is a rigidity component used within the Unified Rigidity Framework (URF).

Core result

  • A theorem-level bound on admissible drift of support, formulated via the Hausdorff distance between supports of measures.
  • Establishes conditions under which support evolution is provably limited.

What is included

  • Formal definitions of support drift and related notions.
  • Lemmas establishing basic properties of the drift bound.
  • Proof infrastructure used by downstream URF modules.

What this is not

  • Not a convergence theory.
  • Not a continuity theory.
  • Not a repository for extending the result beyond the stated assumptions.

Status

Mathematically complete within its declared scope. Stable reference component.