Two-dimensional array-based datasets are pervasive in a variety of domains. Current approaches for generative modeling have typically been limited to conventional image and performed the pixel domain which does not explicitly capture correlation between pixels. Additionally, these do extend scientific other applications where each element value is continuous fixed range. In this paper, we propo...

We consider a class of anisotropic spin-$\frac{1}{2}$ models with competing ferro- and antiferromagnetic interactions on two-dimensional Tasaki kagome lattices consisting corner sharing triangles. For certain values the ground state is macroscopically degenerated in zero magnetic field. In this case manifold consists isolated magnons as well bound magnon complexes. The degeneracy estimated usin...

The algebraic properties of drift-flux two-phase fluids models without gravitational and wall friction forces are studied. More precisely, for the two we consider equation states polytropic gases. We perform a classification scheme unknown parameters model such that to determine all possible admitted Lie symmetries. find in most general case dynamical system hyperbolic equations is invariant un...