Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Ag.g/4U, and we express...
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful too...
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action...
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extendi...
The Arti?cial Evolution conference was originally conceived as a forum for the French-speaking Evolutionary Computation community, but has of late been acquiring an European audience, with several papers from Germany, Austria, Italy, Spain... However, AE remains as intended a small and friendly gathering, which will continue to be held every two years. Previous AE meets were held in Toulouse, Brest, and N DEGREES ?mes. This year, the hosting was done by the LIL (Laboratoire d'Informatique du Littoral) in the not-so-cold city of Dunkerque. The invited talk on "Fitness Landscapes and...
The Arti?cial Evolution conference was originally conceived as a forum for the French-speaking Evolutionary Computation community, but has of late bee...
Econophysics describes phenomena in the development and dynamics of economic systems by using of a physicMly motivated methodology. First of all, Mandelbrot had analyzed economic and social relations in terms of modern statistical physics. Since then, the number of publications related to this topic has increased irresistible greatly. To be fair to this historical evolution, I point out, however, that physical and economic concepts had already been connected long ago. Terms such as work, power, and efficiency factor have similar physical and economic meanings. Many physical discoveries for...
Econophysics describes phenomena in the development and dynamics of economic systems by using of a physicMly motivated methodology. First of all, Mand...
The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics - based on the Bloch theorem - the theory of electronic states in crystals is essentially a theory of electronic states in crystals of in?nite size. However, that any real crystal always has a ?nite size is a physical reality one has to face. The di?erence between the electronic structure of a real crystal of ?nite size and the electronic structure obtained based on the Bloch theorem becomes more signi?cant as the crystal size decreases. A clear understanding of the...
The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics - based on the Bloch t...
The physics of semiconductors has seen an enormous evolution within the last ?fty years. Countless achievements have been made in scienti?c research and device applications have revolutionized everyday life. We have learned how to customize materials in order to tailor their optical as well as electronic properties. The on- ing trend toward device miniaturization has been the driving force on the appli- tion side and it has fertilized fundamental research. Nowadays, advanced processing techniques allow the fabrication of sub-micron semiconductor structures in many university research...
The physics of semiconductors has seen an enormous evolution within the last ?fty years. Countless achievements have been made in scienti?c research a...
The systematic bottom-up approach provides the appropriate framework for interpreting measurements that will be performed to better understand the physics of mass generation in the universe. No knowledge of quantum field theory is required other than familiarity with effective Lagrangians and Feynmann diagrams.
The systematic bottom-up approach provides the appropriate framework for interpreting measurements that will be performed to better understand the ...
This up-to-date text deals with the mutual interaction and energy transfer between electronic defect states of F centres and defect ions and neighbouring molecular defects in alkali halides. It includes more than 100 illustrations and figures, plus many previously unpublished results.
This up-to-date text deals with the mutual interaction and energy transfer between electronic defect states of F centres and defect ions and neighb...
The interaction of an electron beam with a solid target has been studied since the early part of the past century. Since 1960, the electron-solid interaction hasbecomethesubjectofanumberofinvestigators'workowingtoitsfun- mental role in scanning electron microscopy, in electron-probe microanalysis, in Auger electron spectroscopy, in electron-beam lithography and in radiation damage. The interaction of an electron beam with a solid target has often been investigated theoretically by using the Monte Carlo method, a nume- cal procedure involving random numbers that is able to solve mathematical...
The interaction of an electron beam with a solid target has been studied since the early part of the past century. Since 1960, the electron-solid inte...
Modern advanced semiconductor lasers show complex spatio-temporal dynamics of the emitted optical fields. This book presents fundamental theories and simulations of the spatio-temporal dynamics and quantum fluctuations in semiconductor lasers. The dynamic interplay of light and matter is theoretically described by taking into account microscopic carrier dynamics, spatially dependent light-field propagation and the influence of spontaneous emission and noise. Microscopic simulations reveal the internal spatio-temporal dynamics of in-plane lasers, high-power amplifiers and vertical-cavity...
Modern advanced semiconductor lasers show complex spatio-temporal dynamics of the emitted optical fields. This book presents fundamental theories a...
