# Disordered spectral model benchmark

Family 261: Localization and delocalization in the Anderson model. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Materials and spectral researchers can compare finite lattice simulations across dimension and disorder against the stated infinite-lattice spectral contrast.

## Applicability and commercial boundary

Pure-point or absolutely continuous infinite-volume spectrum is not a finite-device conductivity certificate. The weak-disorder threshold and relevant energy interval need effective values.

## Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Inspect quantitative thresholds and finite-volume observables before claiming a materials-design backend.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026/paper.pdf).