Non Symmetric Dirichlet Forms on Semifinite von Neumann Algebras

The theory of non symmetric Dirichlet forms is generalized to the non abelian setting, also establishing the natural correspondences among Dirichlet forms, sub-Markovian semigroups and sub-Markovian resolvents within this context. Examples of non symmetric Dirichlet forms given by derivations on Hilbert algebras are studied.Comment: 32 pages, plain TeX, Preprint Roma TOR VERGATA Nr.9-93-May 9

The Costs of Class Actions: Allocation and Collective Redress in the U.S. Experience

Once a preserve of the American legal landscape, the class action device today transcends geographic boundaries. In the past decade, efforts have intensified to establish collective litigation instruments in diverse legal terrains outside the United States - including Europe - often with the common goal of allowing some form of collective legal redress while avoiding perceived disadvantages of class actions in the American experience. Today more than ever, from legislators to litigants to scholars, European reformers face the challenge - and the opportunity - of making fundamental choices about the scope and shape of the collective legal remedies they wish to make available. Choices about the shape of the class action device reflect foundational judgments about the proper allocation of costs, and there is much from the U.S. experience that can inform Europe's prospective reformers. This article describes the history and current status of class action rules in the U.S., and then compares class actions and another form of extra-compensatory damages - one type of punitive damages â as means of doing the same thing. Although neither punitive damages of this sort nor class actions generally have traditionally existed in civil law systems, they both - and especially this particular form of punitive damages - can, from an economic view, be made to vindicate the same kind of social cost accounting goals. By considering these legal devices together, we hope to shed light on crucial choices facing Europe as it grapples with how best to provide collective legal redress in light of the lessons of the U.S. experience with class actions.Class actions, Collective legal redress, Punitive damages, Extra-compensatory damages, Allocation of costs, Deterrence

On optimal and near-optimal turbo decoding using generalized max operator

Motivated by a recently published robust geometric programming approximation, a generalized approach for approximating efficiently the max* operator is presented. Using this approach, the max* operator is approximated by means of a generic and yet very simple max operator, instead of using additional correction term as previous approximation methods require. Following that, several turbo decoding algorithms are obtained with optimal and near-optimal bit error rate (BER) performance depending on a single parameter, namely the number of piecewise linear (PWL) approximation terms. It turns out that the known max-log-MAP algorithm can be viewed as special case of this new generalized approach. Furthermore, the decoding complexity of the most popular previously published methods is estimated, for the first time, in a unified way by hardware synthesis results, showing the practical implementation advantages of the proposed approximations against these method

Motion estimation and CABAC VLSI co-processors for real-time high-quality H.264/AVC video coding

Real-time and high-quality video coding is gaining a wide interest in the research and industrial community for different applications. H.264/AVC, a recent standard for high performance video coding, can be successfully exploited in several scenarios including digital video broadcasting, high-definition TV and DVD-based systems, which require to sustain up to tens of Mbits/s. To that purpose this paper proposes optimized architectures for H.264/AVC most critical tasks, Motion estimation and context adaptive binary arithmetic coding. Post synthesis results on sub-micron CMOS standard-cells technologies show that the proposed architectures can actually process in real-time 720 × 480 video sequences at 30 frames/s and grant more than 50 Mbits/s. The achieved circuit complexity and power consumption budgets are suitable for their integration in complex VLSI multimedia systems based either on AHB bus centric on-chip communication system or on novel Network-on-Chip (NoC) infrastructures for MPSoC (Multi-Processor System on Chip

Rydberg optical Feshbach resonances in cold gases

We propose a novel scheme to efficiently tune the scattering length of two colliding ground-state atoms by off-resonantly coupling the scattering-state to an excited Rydberg-molecular state using laser light. For the s-wave scattering of two colliding ${^{87}}\mathrm{Rb}$ atoms, we demonstrate that the effective optical length and pole strength of this Rydberg optical Feshbach resonance can be tuned over several orders of magnitude, while incoherent processes and losses are minimised. Given the ubiquity of Rydberg molecular states, this technique should be generally applicable to homo-nuclear atomic pairs as well as to atomic mixtures with s-wave (or even p-wave) scattering.Comment: 8 pages, 5 figures. Accepted in Phys. Rev.

Characterization of Er in porous Si

The fabrication of porous Si-based Er-doped light emitting devices is a very promising developing field for all-silicon light emitters. However, while luminescence of Er-doped porous silicon devices has been demonstrated, very little attention has been devoted to the doping process itself. We have undertaken a detailed study of this process examining the porous silicon matrix from several points of view, during and after the doping. In particular, we have found that the Er doping process shows a threshold level which, as evidenced by the cross correlation of the various techniques used, does depend on the sample thickness and on the doping parameters