Abelian gauge theories formulated on a space-time lattice can be used as a prototype for investigating the confinement mechanism. In U(1) lattice gauge theory it is possible to perform a dual transformation of the path integral. Simulating the obtained dual theory (which corresponds to a certain limit of a dual Higgs model) including external sources, we perform a very accurate analysis of flux...

Doctors’ survival predictions for terminally ill patients have been shown to be inaccurate and there has been an argument for less guesswork and more use of carefully constructed statistical indices. As statisticians, the authors are less confident in the predictive value of statistical models and indices for individual survival times. This paper discusses and illustrates a variety of measures ...

Let F be a family of subgroups of a group G = (G, ·) such that ⋃F = G. Then P = (F,≤) is a partially ordered set (with an order dual to ⊆) and let a mapping A: G −→ P be a P-(fuzzy) subgroup of a group G defined by (6). The theory of fuzzy-subgroups is known [2] but in this paper we will apply it to the theory of Riemann surfaces. Mbius transformations form a group M and we introduce a connecti...

We consider estimation and test problems for some semiparametric two-sample density ratio models. The profile empirical likelihood (EL) poses an irregularity problem under the null hypothesis that the laws of the two samples are equal. We show that a “dual” form of the profile EL is well defined even under the null hypothesis. A statistical test, based on the dual form of the EL ratio statistic...

In this paper a new form of duality for probabilistic cellular automata (PCA) is introduced. Using this duality, an ergodicity result for processes having a dual is proved. Also, conditions on the probabilities defining the evolution of the processes for the existence of a dual are provided. The results are applied to wide classes of PCA which include multi-opinion voter models, competition mod...

Encoding temporal information from the recent past as spatially distributed activations is essential in order for the entire recent past to be simultaneously accessible. Any biological or synthetic agent that relies on the past to predict/plan the future, would be endowed with such a spatially distributed temporal memory. Simplistically, we would expect that resource limitations would demand th...

In this work, we aim to prove the theta dichotomy conjecture for dual dual pairs of type ( ̃ Sp(W ),O(V )) with dim(V ) odd. The crux of the proof relies on the analysis the reducibility of a certain a degenerate principal series representation of the group ̃ Sp(W ′) having double the rank of ̃ Sp(W ). This analysis is carried out by way of a normalized standard intertwining operator which is al...

This paper extends the Meijer transformation, M, given by I /2K 2p f(t) (pt) (2 p)dt, (Mf) (p) (i+) 0 where f belongs to an appropriate function space, e (-1,) and K is the modified Bessel function of third kind of order , to certain generalized functions. A testing space is constructed so as to contain the (pt)/2K(2p), of the transformation. Some properties of the kernel, function space and it...

Maintaining cognitive control while pursuing several tasks at the same time is hard, especially when the current problem states of these tasks need to be represented in memory. We are investigating the mutual influence of a self-paced and a reactive task with regard to completion time and error rates. Against initial expectations, the interruptions from the reactive task did not lead to more er...

In the turbulent information technology (IT) industry, firms need to continuously innovate to maintain or increase their competitiveness. Focused technology acquisitions provide a means to rapidly gain IT competencies and innovations. Research consistently identifies knowledge and culture as critical antecedents to success in these acquisitions. Since such studies are typically observational, t...