Aliasing Error of Sampling Series in Wavelet Subspaces

Alising error arises whenever a sampling formula, valid for a prescribed space, is applied to a function in a bigger space. In this work, we estimate the aliasing error of classic and average sampling expansions in wavelet subspaces of a multiresolution analysis.     

Jordan Superalgebras of Type and the Wedderburn Principal Theorem (WPT)

An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras 𝔍 with solvable radical 𝒩, 𝒩 ² = 0, and such that , where 𝔽 is a field of characteristic zero. It is proved that the WPT is valid under some restrictions over the irreducible -bimodules contained in 𝒩, and it is shown with counterexamples that these restrictions cannot be weakened.     

The derivations of some evolution algebras

In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n ? 1 are described.     

Particle spectra from the ALCOR model

We introduce the Transchemistry Model as a dynamical extension of the Algebraic Coalescence Rehadronization (ALCOR) model in describing the hadronization of quark matter which is expected to be produced in relativistic heavy ion collisions. Results are presented for CERN SPS NA49 Pb+Pb experiment calculating hadron multiplicities and momentum spectra. The freeze-out properties of different hadrons are characterized by similar temperature, density and flow profiles in cylindrically symmetric geometry.     

Strangeness production via parton cascade

We study pre-equilibrium strangeness production at RHIC energies in a new parton cascade. Starting with the turbulent glue HIJING initial conditions we investigate the interplay between mini-jet and soft beam jet gluons for strangeness production prior to hadronization, and show the importance of soft beam jet gluons in the strangeness production.     

Logarithmic correction to the specific heat in tris-sarcosine calcium chloride

Specific heat experimental results in the 3x10^?2 ≦ | t | ≦5.5x10^?5 temperature range ($\text{t =}\text{(T?T}{}_{\mathrm{C}}\text{)}\text{T}{}_{\mathrm{C}}$) were fitted by means of the logarithmically corrected Landau theory of uniaxial dipolar ferroelectrics. The non-universal parameters b and t_O as well as the transverse and longitudinal correlation lengths at zero temperature are determined.     

Lattice dynamics of the transition metal pentatellurides ZrTe5 and HfTe5

Fresh Raman data collected from the (001) face of a ZrTe₅ single crystal and from polycrystalline powders of ZrTe₅ and HfTe₅ are presented. A simple model assuming only central interactions between nearest neighbour atoms is used for lattice dynamical calculations at $\text{k}\text{=}\text{0}$. The model accounts for the observations and places emphasis on the virtually lacking dynamical coupling between the two basic structural units in these pentatellurides [trigonal-prismatic (MTe₃)_n rods and zig-zag (Te₂)₂ chains].     

Quasi-filiform Leibniz algebras of maximum length

The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 ≤ p ≤ 2. For Lie algebras whose nilindex is equal to n−2 there is only one characteristic sequence, (n − 2, 1, 1), while in Leibniz theory we obtain the two possibilities: (n − 2, 1, 1) and (n − 2, 2). The first case (the 2-filiform case) is already known. The present paper deals with the second case, i.e., quasi-filiform non-Lie-Leibniz algebras of maximum length. Therefore this work completes the study of the maximum length of the Leibniz algebras with nilindex n − p with 0 ≤ p ≤ 2.