The Weil representation is an important representation of the Metaplectic group, a double cover of the symplectic group. To study this representation, one can embed the even part into a degenerate principal series representation, which contains a spherical vector.

We propose the Adjusted Chatterjee Correlation Coefficient (AC3), which shows better performance on local signal detection and generality property compared with the original one.

Early detection of COVID-19 is critical in mitigating the spread of the virus. Commonly used tests include nucleic acid detection, antibodies detection via blood testing and CT imaging.

  The theory of Mixed-Spin-P(MSP) fields was introduced by Chang-Li-Li-Liu to study the higher-genus Gromov-Witten invariants of the quintic threefold.

The problem is to find the optimal shape of material that gives minimal compliance under constraints. Based on shape representation techniques, existing methods can be categorized into level set method, density field method, phase field method, etc.