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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.
- Nyhet
Tales and Trends in Operator Theory, Evolution Equations and Complex Variables
IWOTA 2024, Canterbury, England
Inbunden, Engelska, 2026
2 975 kr
Kommande
This book originates from the International Workshop on Operator Theory and its Applications (IWOTA) held in Canterbury, University of Kent, UK, in August 2024. It includes both original research articles and broad survey articles on current developments in the field. IWOTA is a major series of annual workshops in mathematical analysis which covers operator-theoretic aspects of topics such as complex analysis, harmonic analysis, linear algebra, random matrix theory, mathematical physics, and their applications, such as control theory, signal processing and AI.