In this paper we obtain an upper bound and also a lower bound for maximum edges of strongly 2 multiplicative graphs of order n. Also we prove that triangular ladder the graph obtained by duplication of an arbitrary edge by a new vertex in path and the graphobtained by duplicating all vertices by new edges in a path and some other graphs are strongly 2 multiplicative

We analyze the coarse geometry of the Weil-Petersson metric on Teichmüller space, focusing on applications to its synthetic geometry (in particular the behavior of geodesics). We settle the question of the strong relative hyperbolicity of the Weil-Petersson metric via consideration of its coarse quasi-isometric model, the pants graph. We show that in dimension 3 the pants graph is strongly rela...

We report the discovery of a 200 mHz quasi-periodic oscillation (QPO) in the X-ray emission from a bright ultra-luminous X-ray source (ULX) Holmberg IX X-1 using a long XMM-Newton observation. The QPO has a centroid at νQPO = 202.5 +4.9 −3.8 mHz, a coherence Q ≡ νQPO/∆νFWHM ≈ 9.3 and an amplitude (rms) of 6% in the 0.2 − 10 keV band. This is only the second detection of a QPO from an ULX, after...

We present a new method of investigating the so-called quasi-linear strongly damped wave equations ∂ t u− γ∂t∆xu−∆xu+ f(u) = ∇x · φ ′(∇xu) + g in bounded 3D domains. This method allows us to establish the existence and uniqueness of energy solutions in the case where the growth exponent of the non-linearity φ is less than 6 and f may have arbitrary polynomial growth rate. Moreover, the existenc...

where g:(0, 1)-»X is an essentially bounded strongly measurable function. In this paper we examine analogues of the Radon-Nikodym Property for quasiBanach spaces. If 0 < p < 1, there are several possible ways of defining "differentiable" operators on Lp, but they inevitably lead to the conclusion that the only differentiable operator is zero. For example, a differentiable operator on L\ has the...

We consider quasi maximum likelihood (QML) estimation for general non-Gaussian discrete-time linear state space models and equidistantly observed multivariate Lévy-driven continuous-time autoregressive moving average (MCARMA) processes. In the discrete-time setting, we prove strong consistency and asymptotic normality of the QML estimator under standard moment assumptions and a strong-mixing co...

Submitted for the DPP15 Meeting of The American Physical Society A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm1 REMI LEHE, LBNL, MANUEL KIRCHEN, DESY, Germany, IGOR ANDRIYASH, LOA, France, BRENDAN GODFREY, University of Maryland, JEAN-LUC VAY, LBNL — Particle-In-Cell (PIC) codes are widely used today for laser-wakefield acceleration and other laser-plasma interact...

‎In this paper‎, ‎we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets)‎. ‎We characterize the strongly $k-$spaces and investigate the relationships between preclosedness‎, ‎locally strongly compactness‎, ‎pre-first countableness and being strongly $k-$space.

In this paper we will continue the study of p-closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi-Hclosed spaces. We will provide new characterizations of p-closed spaces and investigate their relationships with some other classes of topological spaces.

Escape from a metastable potential is considered on time-scales less than are needed for the creation of quasi-equilibrium within the well. It is shown that the escape flux may then depend exponentially strongly, and in a complicated way, on friction and time.