ENGLISH

Nonlinear Perron-Frobenius Theory

By Roger Nussbaum , Bas Lemmens

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
0521898811, 9780521898812
DOI
10.1017/S0305004111000673
Language
english
Format
DJVU
Filesize
7 MB (7092524 bytes)
Series
Cambridge Tracts in Mathematics
Pages
336\334
Time added
2012-12-20 17:18:34

Description

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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