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Differential geometry. Global analysis --- Fractals --- Fractales --- Fractals. --- 517.987 --- #WBIB:dd.Lic.L.De Busschere --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology)

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Statistical physics --- Fractales --- Fractals --- Science --- Sciences --- Mathematics --- Mathématiques --- 517.987 --- -#TELE:SISTA --- Natural science --- Science of science --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractals. --- Mathematics. --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Mathématiques --- #TELE:SISTA --- Science - Mathematics

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Statistical physics --- Differential geometry. Global analysis --- Fractales --- Fractals --- Mecanique statistique --- Statistical mechanics --- Statistische mechanica --- Mécanique statistique --- Fractals. --- 51 --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Thermodynamics --- Mathematics --- 51 Mathematics --- Mécanique statistique

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Fractals --- Chaotic behavior in systems --- 517.987 --- #KVIV:BB --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems

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Advances in nonlinear dynamics, especially modern multifractal cascade models, allow us to investigate the weather and climate at unprecedented levels of accuracy. Using new stochastic modelling and data analysis techniques, this book provides an overview of the nonclassical, multifractal statistics. By generalizing the classical turbulence laws, emergent higher-level laws of atmospheric dynamics are obtained and are empirically validated over time-scales of seconds to decades and length-scales of millimetres to the size of the planet. In generalizing the notion of scale, atmospheric complexity is reduced to a manageable scale-invariant hierarchy of processes, thus providing a new perspective for modelling and understanding the atmosphere. This synthesis of state-of-the-art data and nonlinear dynamics is systematically compared with other analyses and global circulation model outputs. This is an important resource for atmospheric science researchers new to multifractal theory and is also valuable for graduate students in atmospheric dynamics and physics, meteorology, oceanography and climatology.

Meteorology --- Atmospheric physics --- Fractals --- Scaling laws (Statistical physics) --- Meteorology. --- Atmospheric physics. --- Fractals. --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Physical laws --- Ranking and selection (Statistics) --- Statistical physics --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Aerophysics --- Meteorology, Physical --- Physical meteorology --- Atmospheric science --- Aerology