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math.SP2025
Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph
Chung-Tsun Shieh, Tzong-Mo Tsai, Meng-Nien Wu
This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to b…
math.DS2025
Projection theorems with countably many exceptions and applications to the exact overlaps conjecture
Meng Wu
We establish several optimal estimates for exceptional parameters in the projection of fractal measures: (1) For a parametric family of self-similar measures satisfying a transvers…