Stability Radius of the Lamplighter Group
Dogon, Levit and Vigdorovich asked for an explicit upper bound on the stability radius of an infinitely presented group. The lamplighter group provides the first: explicit polynomial bounds on both its Hilbert-Schmidt stability rate and its stability radius, obtained through approximately invariant measures and an effective marker construction.
Exact FrontierDelta
Scope and record
Occurred: Jul 22, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Stability Radius of the Lamplighter Group · Lamplighter stability
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Alon Dogon
human · human collaborator
Thomas Vidick
human · human collaborator
ChatGPT 5.5
model · ai model contributor · OpenAI / Harmonic
Aristotle
model · ai model contributor · OpenAI / Harmonic
Lineage and corrections
This event attributed to Alon Dogon
This event attributed to Thomas Vidick
This event attributed to ChatGPT 5.5
This event attributed to Aristotle