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math.DG2026
A Proof of the Analytic Entropy Conjecture
Xiaoyang Chen, Xiang Jiang
We prove that the geodesic flow of a closed real-analytic Riemannian manifold has zero topological entropy if it admits globally defined, real-analytic Liouville integrals. This pr…
cs.AI2026
Moonshine: An Autonomous Mathematical Research Agent Centered on Conjecture Generation
Xiaoyang Chen, Xiang Jiang
Moonshine is an autonomous agent whose central objective is to generate mathematical conjectures. Its core capability is to extract structure from classical problems, distill new c…
cs.AI2026
Can LLM generate interesting mathematical research problems?
Xiaoyang Chen, Xiang Jiang
This paper is the second one in a series of work on the mathematical creativity of LLM. In the first paper, the authors proposed three criteria for evaluating the mathematical crea…