Abstract Let $F_{\pi }$ be a finite Galois-algebra extension of number field F , with group G . Suppose that }/F$ is weakly ramified and the square root $A_\pi $ inverse different $\mathfrak {D}_{\pi }^{-1}$ defined. (This latter condition holds if, for example, $|G|$ odd.) Erez has conjectured class $(A_\pi )$ in locally free $\operatorname {\mathrm {Cl}}(\mathbf {Z} G)$ $\mathbf G$ equal to C...

Periodically driven (Floquet) phases are attractive due to their ability host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising square-root version of existing Floquet phases, applicable both noninteracting and interacting setting. The resulting systems found yield richer physics that is otherwise absent the original counterparts robus...

Accurately predicting dynamic noise levels in urban environments is non-trivial. This study aims to optimally combine both simulated and empirical data. Acoustic data from microphone arrays, traffic weather was merged with a map, created statistical emulator tool (meta-model). Each hour, map generated by the meta-model measured algorithmically readings form new composite map. The resulting anal...