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North Africa is one of the most earthquake-prone areas of the Mediterranean. Many devastating earthquakes, some of them tsunami-triggering, inflicted heavy loss of life and considerable economic damage to the region. In order to mitigate the destructive impact of the earthquakes, the regional seismic hazard in North Africa is assessed using the neo-deterministic, multi-scenario methodology (NDSHA) based on the computation of synthetic seismograms, using the modal summation technique, at a regular grid of 0.2 × 0.2°. This is the first study aimed at producing NDSHA maps of North Africa including five countries: Morocco, Algeria, Tunisia, Libya, and Egypt. The key input data for the NDSHA algorithm are earthquake sources, seismotectonic zonation, and structural models. In the preparation of the input data, it has been really important to go beyond the national borders and to adopt a coherent strategy all over the area. Thanks to the collaborative efforts of the teams involved, it has been possible to properly merge the earthquake catalogues available for each country to define with homogeneous criteria the seismogenic zones, the characteristic focal mechanism associated with each of them, and the structural models used to model wave propagation from the sources to the sites. As a result, reliable seismic hazard maps are produced in terms of maximum displacement ( D), maximum velocity ( V), and design ground acceleration. [ABSTRACT FROM AUTHOR]

Lie group convolution algebras are regarded as deformation quantizations of linear Poisson brackets. It is shown that this deformation is a star product equivalent to the Kontsevich star product, some interesting properties of this star product are proved, and an explicit expression for the star product is given. [ABSTRACT FROM AUTHOR]

An explicit star product ⋆ on the dual of a general Lie algebra equipped with the linear Poisson bracket is constructed. An equivalence operator between this star product and the Kontsevich star product in [K1] is given and diverse properties of the star product ⋆ are studied. It is also proved that the star product ⋆ provides a convergent deformation quantization in the sense of Rieffel [R1]. [ABSTRACT FROM AUTHOR]