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For an unkilled Levy process $\xi$ drifting to $+\infty$ with all positive exponential moments, let $I_\xi = \int_0^\infty e^{-\xi_t}\,dt$ and $X_\xi = 1/I_\xi$. Bertoin and Yor proved $X_\xi$ is moment-determinate when $\xi$ has no positive jumps and conjectured that this condition is necessary. The conjecture is settled.
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The paper has a dedicated Use of AI tools section stating the models were used during the exploratory and editorial stages of the work. Exploration is mathematical work rather than prose work, but no individual step is attributed, so the lowest tier applies.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Single-author arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.