We show that for every binary matroid $N$ there is a graph $H_*$ such the graphic $M_G$ of $G$, matroid-homomorphism from to if and only graph-homomorphism $G$ $H_*$. With this we prove complexity dichotomy problem $\rm{Hom}_\mathbb{M}(N)$ deciding $M$ admits homomorphism $N$. The polynomial time solvable has loop or no circuits odd length, otherwise $\rm{NP}$-complete. also get dichotomies lis...

Using the relativistic mean-field model, we calculate properties of binary neutron star (BNS) in in-spiral phase. Assuming dark matter (DM) particles are accreted inside (NS) due to its enormous gravitational field, mass $M$, radius $R$, tidal deformability $\lambda$ and dimensionless $\Lambda$ calculated at different DM fractions. The value decreases with increase percentage NS. phase BNS expl...

Abstract We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Using transfer operators acting on anisotropic Banach spaces, we prove that the system admits a unique physical invariant state, $$h_\varepsilon $$ h ε . Moreover,...

Magnetotransport measurements were carried out for YBa_2Cu_3O_{7-x} (YBCO) thin films in external perpendicular magnetic fields of H. The studies performed both the virgin samples and irradiated ones. Xenon ions used as an irradiation. Thus we studied features broadening superconducting transition YBCO (virgin irradiated). drop was analyzed depending on field H, well irradiation dose n_D. When ...

Lattice results on sigma terms and global analysis of parton momentum fractions are used to give the quark glue proton mass rest energy. The decomposition in trace energy-momentum tensor is renormalization group invariant. energy from Hamiltonian gravitational form factors scheme scale dependent. separation into traceless part which composed has minimum dependence. We identify anomaly $\langle ...

Topological crystalline metals/semimetals (TCMs) have stimulated a great research interest, which broaden the classification of topological phases and provide valuable platform to explore superconductivity. Here, we report discovery superconductivity features in Pb-intercalated transition-metal dichalcogenide Pb$_{1/3}$TaS$_2$. Systematic measurements indicate that Pb$_{1/3}$TaS$_2$ is quasi-tw...

We prove that cluster observables of level-sets the Gaussian free field on hypercubic lattice $\mathbb{Z}^d$, $d\geq3$, are analytic whole off-critical regime $\mathbb{R}\setminus\{h_*\}$. This result concerns in particular percolation density function $\theta(h)$ and (truncated) susceptibility $\chi(h)$. As an important step towards proof, we show exponential decay probability for capacity a f...