We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip −∞ < x < ∞ (0 < τ < β) of the z = x + iτ (τ : imaginary time) plane into the upper-half-plane. Use of the C...

In this short article, we explore some methods, results and open problems dealing with weighted Marcinkiewicz-Zygmund inequalities as well as the numerical approximation of integrals for exponential weights on the real line and on finite intervals of the line. The problems posed are based primarily on ongoing work of the author and his collaborators and were presented at the November 2001 Oberw...

We consider the realization of affine ADE Lie algebras as string junctions on mutually non-local 7-branes in Type IIB string theory. The existence of the affine algebra is signaled by the presence of the imaginary root junction δ, which is realized as a string encircling the 7-brane configuration. The level k of an affine representation partially constrains the asymptotic (p, q) charges of stri...

This paper analyses the long-memory properties of high frequency financial time series. It focuses on temporal aggregation and the influence that this might have on the degree of dependence of the series. Fractional integration or I(d) models are estimated with a variety of specifications for the error term. In brief, we find evidence that a lower degree of integration is associated with lower ...

We propose a conditional measure of capital market integration that allows us to characterize both the cross-section and time-series ofexpected returns in developed and emerging markets. Our measure, which arises from a conditional regime-switching model, allows us to describe expected returns in countries that are segmented from world capital markets in one part of the sample and become integr...

information and communication technology (ict) has transformed how we live our lives and the way we interact in different contexts. benefits of ict and its upcoming efficiencies (i.e. energy efficiency) are becoming the heart of many public services’ reforms which have influenced the time, distance and space concepts. at present, not only there is a lack of clarity about what high-quality ictba...

of the Dissertation....................................................................................... vii List of Figures ............................................................................................................ xiii List of Tables............................................................................................................... xx

In this paper we examine the degree of market integration in French gas imports. Are there substantial price differences between gas from different export countries, and do prices move together? Furthermore, we analyze to what extent the French, German and Belgian markets are integrated. The long-term takeor-pay contracts are described and analyzed. Time series of Norwegian, Dutch and Russian g...

Paschalis et al. in [12] have given a structured method to design TSC m-out-of-2m code checkers suitable for VLSI implementation. In this correspondence we give sufficient conditions so that the method given in [12] can be used to design checkers for classes of m-outof-n codes with n * 2m.

A novel and promising method to measure low levels of NOx utilizes the accumulating sensor principle. During an integration cycle, incoming NOx molecules are stored in a sensitive layer based on an automotive lean NOx trap (LNT) material that changes its electrical resistivity proportional to the amount of stored NOx, making the sensor suitable for long-term detection of low levels of NOx. In t...