Download PDF by Ron Blei: Analysis in Integer and Fractional Dimensions (Cambridge

By Ron Blei

This ebook presents an intensive and self-contained examine of interdependence and complexity in settings of useful research, harmonic research and stochastic research. It specializes in 'dimension' as a simple counter of levels of freedom, resulting in targeted kinfolk among combinatorial measurements and diverse indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the elemental suggestions of fractional Cartesian items and combinatorial measurement are brought and associated with scales calibrated by way of harmonic-analytic and stochastic measurements. issues contain the (two-dimensional) Grothendieck inequality and its extensions to raised dimensions, stochastic versions of Brownian movement, levels of randomness and Frechet measures in stochastic research. This e-book is basically geared toward graduate scholars specialising in harmonic research, sensible research or likelihood thought. 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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