Download e-book for iPad: Analysis in Integer and Fractional Dimensions (Cambridge by Ron Blei

By Ron Blei

This e-book offers an intensive and self-contained examine of interdependence and complexity in settings of sensible research, harmonic research and stochastic research. It makes a speciality of 'dimension' as a simple counter of levels of freedom, resulting in certain kin among combinatorial measurements and diverse indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the elemental thoughts of fractional Cartesian items and combinatorial size are brought and associated with scales calibrated through harmonic-analytic and stochastic measurements. subject matters contain the (two-dimensional) Grothendieck inequality and its extensions to better dimensions, stochastic types of Brownian movement, levels of randomness and Frechet measures in stochastic research. This ebook is essentially aimed toward graduate scholars specialising in harmonic research, practical research or chance concept. It comprises many routines and is appropriate for use as a textbook. it's also of curiosity to scientists from different disciplines, together with computing device scientists, physicists, statisticians, biologists and economists.

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Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics) by Ron Blei

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