<p style='text-indent:20px;'>In this paper we study the Riemann-Liouville fractional integral of order <inline-formula><tex-math id="M1">\begin{document}$ \alpha>0 $\end{document}</tex-math></inline-formula> as a linear operator from id="M2">\begin{document}$ L^p(I,X) into itself, when id="M3">\begin{document}$ 1\leq p\leq \infty $\end{document}</te...

Recently, the negatively charged nitrogen-vacancy (NV) center has emerged as a robust and versatile quantum sensor in pressurized environments. There are two popular ways to implement NV sensing diamond anvil cell (DAC), which is conventional workhorse high-pressure community: create implanted centers (INVs) at tip or immerse NV-enriched nano-diamonds (NDs) pressure medium. Nonetheless, there l...

Most massive stars are believed to be born in close binary systems where they can exchange mass, which impacts the evolution of both components. Their is great interest search for progenitors gravitational waves. However, there unknowns physics mass transfer as observational examples rare, especially at low metallicity. Nearby low-metallicity environments particularly interesting hunting ground...

In the Directed Disjoint Paths problem, we are given a digraph $D$ and set of requests $\{(s_1, t_1), \ldots, (s_k, t_k)\}$, task is to find collection pairwise vertex-disjoint paths $\{P_1, P_k\}$ such that each $P_i$ path from $s_i$ $t_i$ in $D$. This problem NP-complete for fixed $k=2$ W[1]-hard with parameter $k$ DAGs. A few positive results known under restrictions on input digraph, as bei...

We use single crystal $^{63}$Cu NMR techniques to revisit the early NQR signature of charge order observed for La$_{1.875}$Ba$_{0.125}$CuO$_{4}$ ($T_{\text{c}} =4$~K) [A. W. Hunt et al., Phys. Rev. Lett. {\bf 82}, 4300 (1999)]. show that growth spin correlations is accelerated below $\sim 80$~K, where inverse Laplace transform (ILT) T$_{1}$ analysis $^{139}$La spin-lattice relaxation curve rece...

Computing superconducting properties starting from an exactly solvable model for a doped Mott insulator stands as grand challenge. We have recently shown that this can be done the Hatsugai-Kohmoto (HK) which understood generally minimal breaks non-local $\mathbb Z_2$ symmetry of Fermi liquid, thereby constituting new quartic fixed point physics [Phillips et al., Nature Physics 16, 1175 (2020); ...

Within the Standard Model, we investigate CP violations and $K_S^0-K_L^0$ asymmetries in $D^{\pm}\rightarrow K^{\ast}(892)^{0} \pi^{\pm} + \bar{K}^{\ast }(892)^{0}\pi^{\pm}\rightarrow K_{S,L}^{0}\pi^0 \pi^{\pm}$ decays basing on factorization-assisted topological-amplitude (FAT) approach topological amplitude (TA) of Cheng Chiang [Phys. Rev. D 104, 073003 (2021).]. We find that these $A_{CP}^{K...

We generalize Contou-Carrère symbols to higher dimensions. To an ( n + 1 stretchy="false">) <mml:annotation ...