ABSTRACT In this paper, we investigate the limitations of capacity-based random code constructions for the wiretap channel, i.e., constructions that associate to each confidential message a subcode whose rate approaches the capacity of the eavesdropper’s channel. Generalizing a previous result for binary symmetric channels, we show that random capacity-based codes do not achieve the strong secr...

We prove a version of Hrushovski's 1989 results on almost orthogonal regular types in the context of simple and superstable nitary abstract elementary classes: from a certain expression of `non-orthogonality' we can conclude the existence of a group acting on the geometry obtained on the set of realizations of a regular Lascar strong type, and if we rule out the presence of a non-classical grou...

We introduce the notion of continuous invertibility on a compact set for volatility models driven by a Stochastic Recurrence Equation (SRE). We prove in this context the strong consistency and the asymptotic normality of the M-estimator associated with the Quasi-Likelihood criteria. We recover known results on univariate and multivariate GARCH type models where the estimator coincides with the ...

Abstraction is a powerful tool for developers and it is o ered by numerous features such as polymorphism classes modules and functors A working programmer may be confused with this abundance We develop a computer algebra library which is being certi ed Reporting this experience made with a language Ocaml o ering all these features we argue that they are all needed together We compare several wa...

Recent developments in string theory have changed our perspective on the ancient puzzle on how to construct the QCD string. The conventional wisdom had been that the fundamental superstring for gravity operates exclusively at or near the the Planck scale with the extra 6 dimension compactified in Planckian units. The standard model (and therefore QCD) would appear as simply a low energy effecti...

Robust (M-) estimation in linear models generally involves statistical functional processes. For drawing statistical conclusions (in large samples), some (uniform) linear approximations are usually needed for such functionals. In this context, the role of Hadamard differentiability is critically examined in this dissertation. In particular, the concept of the second-order Hadamard differenti-ab...

Seven years after the discovery of superconductivity in magnesium diboride, the fundamental superconducting properties of this compound are well known and the peculiar current transport in polycrystalline materials is essentially understood. Based on this knowledge the ultimate performance of wires or tapes at high magnetic fields will be predicted and compared to state-of-the-art materials and...