Nonlinear Perron-Frobenius Theory PDF (Adobe DRM) download by Bas Lemmens

Nonlinear Perron-Frobenius Theory

Cambridge University Press
Publication date: April 2012
ISBN: 9781139368544
Digital Book format: PDF (Adobe DRM)

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In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.
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