This work combines several important areas of mathematics - dynamical systems, measure theory and ergodic theory - and gives a thorough treatment of one-dimensional chaotic systems. It includes many examples and applications, and provides problem sets with solutions.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
Höhe: 24 cm
Breite: 15.5 cm
Gewicht
ISBN-13
978-3-7643-4003-2 (9783764340032)
Schweitzer Klassifikation
Preliminaries; review of the ergodic theory; the Frobenius-Perron operator; absolutely continuous invariant measures; other existence results; spectral decomposition of the Frobenius-Perron operator; properties of absolutely continuous invariant measures; Markov transformations; compactness theorem and approximation of invariant densities; stability of invariant measures; the inverse problem for the Frobenius-Perron equation; applications. Solutions to all problems.
