Lectures on Ergodic Theory (eBook)

Paul R. Halmos (Autor)

eBook Download: EPUB

2017
112 Seiten
Dover Publications (Verlag)
978-0-486-82684-4 (ISBN)

Infos

This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.

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This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "e;The book is written in the pleasant, relaxed, and clear style usually associated with the author,"e; noted the Bulletin of the American Mathematical Society, adding, "e;The material is organized very well and painlessly presented."e;Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

Inhalt

IntroductionExamplesRecurrenceMean convergencePointwise convergenceComments on the ergodic theoremMixingMeasure algebrasDiscrete spectrumAutomorphisms of compact groupsGeneralized proper valuesWeak topologyWeak approximationUniform topologyUniform approximationCategoryInvariant measuresInvariant measures: the solutionInvariant measures: the problemGeneralized ergodic theoremsUnsolved problemsReferences

Produkt-Details

• Erscheint lt. Verlag: 15.11.2017
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 147 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: Ergodicity • ergodic theorem • invariant measures • Mean convergence • Measure algebras • pointwise convergence • recurrence • science and math, mathematics, mathematical exposition, introduction to ergodic theory, recurrence, mean and pointwise convergence, measure algebra, automorphism of compact groups, uniform topology and approximation, invariant measures, unsolved problems, ergodicity, undergraduate and graduate students, examples • Uniform topology • Weak topology
• ISBN-10: 0-486-82684-8 / 0486826848
• ISBN-13: 978-0-486-82684-4 / 9780486826844