An inequality of the eigenvalues of the reduced density matrix ρ 2 at finite temperature in the Hubbard model is obtained by means of the Bogolyubov inequality. The quasi-average of˜S + in a simple symmetry-breaking perturbation of the Hamiltonian for a bipartite lattice is shown to be zero. Hubbard models and its extensions such as the SO(5) model[1] are currently believed to be able to accoun...

Abstract In this paper, we use graph theory to solve wave scattering problems in the discrete dipole approximation. As a key result of work, presence active scatterers, present systematic method find arbitrary large-order zero eigenvalue exceptional points (EPs). This is achieved by solving set non-linear equations that interpret, picture, as vanishing sums events. We then show how total field ...

We consider the anisotropic mean curvature flow of entire Lipschitz graphs. prove existence and uniqueness expanding self-similar solutions which are asymptotic to a prescribed cone, we characterize long time behavior solutions, after suitable rescaling, when initial datum is sublinear perturbation cone. In case regular anisotropies, stability strictly convex cones, with respect perturbations v...

Objectives Drawing on new (2011-12) and previous (1993-5, 2000-1 and 2007-8) data on suicidal behaviour reported by the Belgian Network of Sentinel General Practices (SGP), we describe trends in the key characteristics of suicidal events. We also examine patient age-related trends in the on-site attendance of sentinel general practitioners (GPs) as first professional caregivers following suicid...

A man-made environment is characterized by a lot of parallel lines and a lot of orthogonal edges. In this article, a new method for detecting the three mutual orthogonal directions of such an environment is presented. Since realtime performance is not necessary for architectural application, like building reconstruction, a computationally more intensive approach was chosen. On the other hand, o...

Commencing with a review of methods for vanishing point (VP) detection, a new approach is suggested. The proposed approach estimates the location of candidate vanishing points and provides probability measures which reflect the likelihood of those points being the VPs. This new approach allows VPs to be identified in less structured environments compared with its conventional counterparts.

Results of paper [1] are generalized for vacuum type-III solutions with, in general, a non-vanishing cosmological constant Λ. It is shown that all curvature invariants containing derivatives of Weyl tensor vanish if a type-III spacetime admits a non-expanding and non-twisting null geodesic congruence. A non-vanishing curvature invariant containing first derivatives of Weyl tensor is found in th...

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the Lq,p-cohomology of these manifolds. Some applications to vanishing and non vanishing results in Lq,pcohomology are given.

In this article we study deformations of a holomorphic foliation with a generic non-rational first integral in the complex plane. We consider two vanishing cycles in a regular fiber of the first integral with a non-zero self intersection and with vanishing paths which intersect each other only at their start points. It is proved that if the deformed holonomies of such vanishing cycles commute t...

We discuss results from lattice calculations for a few observables that are sensitive to different length scales in the high temperature phase of QCD and can give insight into its non-perturbative structure. We compare lattice results with perturbative calculations at high temperature obtained for vanishing and non-vanishing quark chemical potential.