Type-D ASEP Tracy-Widom Marginals
Do the one-species current marginals of type-D ASEP have the predicted Tracy-Widom long-time asymptotics despite the model's two-species interactions?
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI co-developed
- Method
- Argument
- Field
- Interacting particle systems
- Posed by
- Jeffrey Kuan
- Year posed
- 2022
- Years open
- 4y
- Solved
- 2026-07-13
- Model
- Claude Opus 4.8, Claude Fable 5, Aristotle
- Vendor
- Anthropic / Harmonic
- Collaborators
- Jeffrey Kuan
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 10 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
The exact current-decoupling identity behind the proof was developed with Claude models; Aristotle checked foundational tiers in Lean.
Verification
Author-reviewed arXiv preprint with foundational Lean tiers machine-checked. Not yet peer-reviewed.