Abstract We classify braided generalized near-group fusion categories whose global dimension is not an integer; there are exactly two up to Grothendieck equivalence and taking products with pointed categories.

in this paper, we first present a new important property for bouligand tangent cone (contingent cone) of a star-shaped set. we then establish optimality conditions for pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

A semiclassical theory of single and multimode lasing is derived for open complex or random media using a self-consistent linear response formulation. Unlike standard approaches which use closed cavity solutions to describe the lasing modes, we introduce an appropriate discrete basis of functions which describe also the intensity and angular emission pattern outside the cavity. This constant fl...

In this paper, the scattering and spectral theory of H = ∆g + V is developed, where ∆g is the Laplacian with respect to a scattering metric g on a compact manifold X with boundary and V ∈ C(X) is real; this extends our earlier results in the two-dimensional case. Included in this class of operators are perturbations of the Laplacian on Euclidean space by potentials homogeneous of degree zero ne...

In this paper, the scattering and spectral theory of H = ∆g + V is developed, where ∆g is the Laplacian with respect to a scattering metric g on a compact manifold X with boundary and V ∈ C(X) is real; this extends our earlier results in the two-dimensional case. Included in this class of operators are perturbations of the Laplacian on Euclidean space by potentials homogeneous of degree zero ne...