We give a new representation theoretic interpretation of the ring of quasisymmetric functions. This is obtained by showing that the super analogue of the Gessel’s fundamental quasi-symmetric function can be realized as the character of an irreducible crystal for the Lie superalgebra gln|n associated to its non-standard Borel subalgebra with a maximal number of odd isotropic simple roots. We als...

Concise and numerically feasible dynamic and static Green's functions are obtained in dyadic form by solving the wave equation and the equilibrium equation with general source distribution in transversely isotropic (TI) media. The wave and equilibrium equations are solved by using an extended version of the Kupradze method originally developed for isotropic media. The dynamic Green's function i...

— We present a detailed discussion of the inflationary scenario in the context of inhomogeneous cosmologies. After a review of the fundamental features characterizing the inflationary model, as referred to a homogeneous and isotropic Universe, we develop a generalization in view of including small inhomogeneous corrections in the theory. A second step in our discussion is devoted to show that t...

A readout of an appropriately calibrated individual dosemeter placed on the surface of the anthropomorphic phantom could be considered as a good approximation of the personal dose equivalent Hp(10) that is recommended by ICRP and ICRU as a conservative estimation of effective dose in radiation protection. The response of such a dosemeter as well as the effective dose are modelled by Monte Carlo...

We analyze the dynamical behavior of a quasi-isotropic Universe in the presence of a cosmological fluid endowed with bulk viscosity. We express the viscosity coefficient as a power-law of the fluid energy density: ζ = ζ0 ǫ . Then we fix s = 1/2 as the only case in which viscosity plays a significant role in the singularity physics but does not dominate the Universe dynamics (as requested by its...

This paper investigates the scattering characteristics of the fundamental anti-symmetric (A(0)) Lamb wave at through holes in composite laminates. Three-dimensional (3D) finite element (FE) simulations and experimental measurements are used to study the physical phenomenon. Unidirectional, bidirectional, and quasi-isotropic composite laminates are considered in the study. The influence of diffe...

In this paper we explore the Isotropic Subspace Theorems of Catanese and Bauer, establishing relations between isotropic subspaces in the 1cohomology of a quasi-projective variety M and certain irrational pencils f : M → C, from the point of view of the Tangent Cone Theorem due to Papadima, Suciu and the author. In the proper case the picture is completely clear, and is described in section 3. ...

Interpolation operators map a function u to an element Iu of a finite element space. Unlike more general approximation operators, interpolants are defined locally. Estimates of the interpolation error, i.e., the difference u− Iu, are of utmost importance in numerical analysis. These estimates depend on the size of the finite elements, the polynomial degree employed, and the regularity of u. In ...

We consider the approximation of d-dimensional weighted integrals of certain isotropic functions. We are mainly interested in cases where d is large. We show that the convergence rate of quasi-Monte Carlo for the approximation of these integrals is O( √ logn/n). Since this is a worst case result, compared to the expected convergence rate O(n−1/2) of Monte Carlo, it shows the superiority of quas...