This paper proposes a new lattice filter structure that has the following properties. When the filter is Linear Time Invariant (LTI), it is equivalent to the celebrated Gray Markel Lattice. When the lattice parameters vary with time it sustains arbitrary rate of time variations without sacrificing a prescribed degree of stability, provided that the lattice coefficients are magnitude bounded in ...

A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of supersymmetric vacua of type IIb string theories compactified on a Calabi-Yau 3-fold X with flux. In particular, complete proofs of the counting formulas in Ashok-Dou...

The current status of theoretical work and experimental analyses on power corrections in QCD for ee annihilation will be reviewed. Measurements of the number of active quark flavours nf and the QCD colour factors CA and CF derived from QCD fits to event shape distributions at lower energies and LEP energies will be presented. The fits are based on O(α2s)+NLLA QCD predictions with power correcti...

The density of states contains all informations on energetic quantities of a statistical system, such as the mean energy, free energy, entropy, and specific heat. As a specific application, we consider in this work a simple lattice model for heteropolymers that is widely used for studying statistical properties of proteins. For short chains, we have derived exact results from conformational enu...

The rst simulation results are presented on Higgs mass calculations in the spontaneously broken phase of the Higgs sector in the minimal Standard Model with higher derivative regulator. A heavy Higgs particle is found in the TeV mass range in the presence of a complex conjugate ghost pair at higher energies. The ghost pair evades easy experimental detection and a nonperturbative reinterpretatio...

The study of heavy quark systems on the lattice is complicated by the large separation of momentum scales which are difficult to accommodate on isotropic lattices. Over the years many effective descriptions of QCD have been developed for low energies and tested against a wealth of experimental data [1–3]. However, the (non-)perturbative control of higher dimensional operators is very difficult ...

This paper proposes a new geometrical theory for the formation of subatomic structures underlying electric polarities and gravitation, and describes their interactions at the sub-elemental particle level. The structures are derived from two basic observations and their interpretations. It is observed that spiral motion is a fundamental action of matter and that all material manifestation is a t...