Ruixiang Zhang

collaborators

2 papers

math.CA2025

Power loss for the Mizohata-Takeuchi conjecture on $C^{k}$ convex hypersurfaces

Hannah Cairo, Ruixiang Zhang

We find a family of compact $C^{k}$ hypersurfaces where the local Mizohata-Takeuchi Conjecture fails with a power loss of $R^{I^} \pm$ for any $I^\pm < \frac{n - 1}{n - 1 + k}$ . Moreover, this family…

math-ph2025

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics

Wencai Liu, Matthew Powell, Yiding Max Tang +3

We establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics…

Power loss for the Mizohata-Takeuchi conjecture on Ck convex hypersurfaces

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics

Power loss for the Mizohata-Takeuchi conjecture on $C^{k}$ convex hypersurfaces