Multifractals: Theory and Applications by David Harte
By David Harte
The first part presents introductory fabric and diversified definitions of a multifractal degree. the writer then examines a few of the a variety of structures for describing multifractal measures. construction from the speculation of enormous deviations, he makes a speciality of buildings according to lattice coverings, protecting by way of point-centered spheres, and cascades procedures. the ultimate part provides estimators of Renyi dimensions of integer order and larger and discusses their houses. It additionally explores numerous functions of measurement estimation and gives an in depth case learn of spatial element styles of earthquake destinations.
Estimating fractal dimensions holds specific price in reports of nonlinear dynamical structures, time sequence, and spatial element styles. With its cautious but sensible mix of multifractals, estimation tools, and case stories, Multifractals: thought and purposes presents a special chance to discover the estimation tools from a statistical perspective.
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