We develop further the topological theory of regular variation of [BOst13]. There we established the uniform convergence theorem (UCT) in the setting of topological dynamics (i.e. with a group T acting on a homogenous space X), thereby unifying and extending the multivariate regular variation literature. Here, working with realtime topological ‡ows on homogeneous spaces, we identify an index of...

We introduce a gaussian probability density for the space-time distribution of wormholes, thus taking effectively into account wormhole interaction. Using a meanfield approximation for the free energy, we show that giant wormholes are probabilistically suppressed in a homogenous isotropic “large” universe. 1 E-mail: [email protected]. 2 E-mail: [email protected]. 3 On leave of absence fr...

We discuss the Picard group of the moduli space Kg of quasi-polarized K3 surfaces of genus g ≤ 12 and g 6= 11. In this range, Kg is unirational, and a general element in Kg is a complete intersection with respect to a vector bundle on a homogenous space, by the work of Mukai. In this paper, we find generators for the Picard group PicQ(Kg) using Noether-Lefschetz theory. This verifies the Noethe...

We present a method to enlarge the phase space of a canonical Hamiltonian System in order to remove coordinate singularities arising from a nontrivial topology of the connguration space. This \innation" preserves the canonical structure of the system and generates new constants of motion that realize the constraints. As a rst illustrative example the spherical pendulum is innated by embedding t...

1 Definitions Definition 1. A graded ring is a ring S together with a set of subgroups Sd, d ≥ 0 such that S = ⊕ d≥0 Sd as an abelian group, and st ∈ Sd+e for all s ∈ Sd, t ∈ Se. One can prove that 1 ∈ S0 and if S is a domain then any unit of S also belongs to S0. A homogenous ideal of S is an ideal a with the property that for any f ∈ a we also have fd ∈ a for all d ≥ 0. A morphism of graded r...

Kinematics studies the motion of bodies without consideration of the forces or moments that cause the motion. Robot kinematics refers the analytical study of the motion of a robot manipulator. Formulating the suitable kinematics models for a robot mechanism is very crucial for analyzing the behaviour of industrial manipulators. There are mainly two different spaces used in kinematics modelling ...

determination of the accurate time of egg stripping after ovulation has been regarded as one of the most important factors in the successful reproduction of caspian brown trout(salmo trutta caspius). to determine the best time for egg stripping after ovulation and over- ripening of the oocyte in the caspian brown trout , the eggs of fish were retained in the coelomic cavity of females at 7 ± 6°...

We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecules, then it can be extended to a bounded operator on coorbit spaces. For time-frequency molecules we recover some boundedness results on modulation spaces, for time-scale molecules we obtain the boundedness on homogeno...