984 research outputs found
Local lower norm estimates for dyadic maximal operators and related Bellman functions
We provide lower and weak -bounds for the localized dyadic maximal
operator on , when the local and the local norm of the
function are given. We actually do that in the more general context of homo-
geneous tree-like families in probability spaces.Comment: 9 page
Dyadic weights on and reverse Holder inequalities
We prove that for any weight defined on that satisfies a
reverse Holder inequality with exponent p > 1 and constant upon all
dyadic subcubes of , it's non increasing rearrangement satisfies a
reverse Holder inequality with the same exponent and constant not more than
, upon all subintervals of of the form . This
gives as a consequence, according to the results in [8], an interval , such that for any , we have that is
in .Comment: 10 page
Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions
We precisely evaluate Bellman type functions for the dyadic maximal opeator
on and of maximal operators on martingales related to local Lorentz type
estimates. Using a type of symmetrization principle, introduced for the dyadic
maximal operator in earlier works of the authors we precisely evaluate the
supremum of the Lorentz quasinorm of the maximal operator on a function
when the integral of is fixed and also the same Lorentz quasinorm of
is fixed. Also we find the corresponding supremum when the integral of
is fixed and several weak type conditions are given.Comment: 11 page
Occupational Fraud Detection Through Visualization
Occupational fraud affects many companies worldwide causing them economic
loss and liability issues towards their customers and other involved entities.
Detecting internal fraud in a company requires significant effort and,
unfortunately cannot be entirely prevented. The internal auditors have to
process a huge amount of data produced by diverse systems, which are in most
cases in textual form, with little automated support. In this paper, we exploit
the advantages of information visualization and present a system that aims to
detect occupational fraud in systems which involve a pair of entities (e.g., an
employee and a client) and periodic activity. The main visualization is based
on a spiral system on which the events are drawn appropriately according to
their time-stamp. Suspicious events are considered those which appear along the
same radius or on close radii of the spiral. Before producing the
visualization, the system ranks both involved entities according to the
specifications of the internal auditor and generates a video file of the
activity such that events with strong evidence of fraud appear first in the
video. The system is also equipped with several different visualizations and
mechanisms in order to meet the requirements of an internal fraud detection
system
Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces
We provide some new estimates for Bellman type functions for the dyadic
maximal opeator on and of maximal operators on martingales related to
weighted spaces. Using a type of symmetrization principle, introduced for the
dyadic maximal operator in earlier works of the authors we introduce certain
conditions on the weight that imply estimate for the maximal operator on the
corresponding weighted space. Also using a well known estimate for the maximal
operator by a double maximal operators on different m easures related to the
weight we give new estimates for the above Bellman type functions.Comment: 10 pages. arXiv admin note: text overlap with arXiv:1511.0611
Advances in Wood Composites
Wood composites have shown very good performance, and substantial service lives when correctly specified for the exposure risks present. Selection of an appropriate product for the job should be accompanied by decisions about the appropriate protection, whether this is by design, by preservative treatment or by wood modification techniques. This Special Issue, Advances in Wood Composites presents recent progress in enhancing and refining the performance and properties of wood composites by chemical and thermal modification and the application of smart nanomaterials, which have made them a particular area of interest for researchers. In addition, it reviews some important aspects in the field of wood composites, with particular focus on their materials, applications, and engineering and scientific advances, including solutions inspired biomimetrically by the structure of wood and wood composites. This Special Issue, with a collection of 13 original contributions, provides selected examples of recent Advances in Wood Composite
The effect of lattice periodicity on the electronic configuration near a metal surface
Includes bibliographical references.A method is developed for calculating single electron wave functions in a semi-infinite metal. The effect of the lattice periodicity is explicitly taken into account so that the solution in the far interior is consistent with the band structure of the infinite crystal. The solution is sufficiently general to include surface states. The single electron potentials are reconsidered and some new features are discussed. These include the elimination of the singular zero-order Fourier terms of the ion-electron and Hartree potentials which leads to the surface dipole barrier. Also a simple formula is derived for the exchange potential in the zero-order approximation which allows to calculate the exchange potential for wave vectors which have components of velocity parallel to the surface. The method is finally applied to a semi-infinite sodium crystal with a (001) orientation
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