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Operational research. Game theory --- Computer architecture. Operating systems --- stochastische analyse --- computerbesturingssystemen --- speltheorie --- operationeel onderzoek --- OS (operating system) --- kansrekening

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Geometry --- landmeetkunde

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In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.

Ordered algebraic structures --- Geometry --- algebra --- landmeetkunde

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Operational research. Game theory --- Computer architecture. Operating systems --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- beeldverwerking --- ICT (informatie- en communicatietechnieken) --- visualisatie --- grafische vormgeving --- informatiesystemen --- speltheorie --- robots

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Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.

Operator theory --- Harmonic analysis. Fourier analysis --- Partial differential equations --- Numerical analysis --- Quantum mechanics. Quantumfield theory --- Computer science --- Fourieranalyse --- differentiaalvergelijkingen --- quantumfysica --- analyse (wiskunde) --- informatica --- numerieke analyse