Ergodic theorems /
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| Author / Creator: | Krengel, Ulrich, 1937- |
|---|---|
| Imprint: | Berlin ; New York : Walter de Gruyter, 1985. |
| Description: | 1 online resource (vii, 357 pages) |
| Language: | English |
| Series: | De Gruyter studies in mathematics ; 6 De Gruyter studies in mathematics ; 6. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11382479 |
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| 100 | 1 | |a Krengel, Ulrich, |d 1937- |0 http://id.loc.gov/authorities/names/n84214730 | |
| 245 | 1 | 0 | |a Ergodic theorems / |c Ulrich Krengel ; with a supplement by Antoine Brunel. |
| 260 | |a Berlin ; |a New York : |b Walter de Gruyter, |c 1985. | ||
| 300 | |a 1 online resource (vii, 357 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a De Gruyter studies in mathematics ; |v 6 | |
| 504 | |a Includes bibliographical references and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a 2.4 The splitting theorem of Jacobs-Deleeuw-GlicksbergChapter 3: Positive contractions in L1; 3.1 The Hopf decomposition; 3.2 The Chacon-Ornstein theorem; 3.3 Brunel's lemma and the identification of the limit; 3.4 Existence of finite invariant measures; 3.5 The subadditive ergodic theorem for positive contractions in L1; 3.6 An example with divergence of Cesàro averages; 3.7 More on the filling scheme; Chapter 4: Extensions of the L1-theory; 4.1 Non positive contractions in L1; 4.2 Vector valued ergodic theorems; 4.3 Power bounded operators and harmonic functions. | |
| 505 | 0 | |a 7.2 Local ergodic theorems for multiparameter and non positive semigroups, and for vector valued functionsChapter 8: Subsequences and generalized means; 8.1 Strong convergence and mixing; 8.2 Pointwise convergence; Chapter 9: Special topics; 9.1 Ergodic theorems in von Neumann algebras; 9.2 Entropy and information; 9.3 Nonlinear nonexpansive mappings; 9.4 Miscellanea; Supplement: Harris Processes, Special Functions, Zero-Two-Law (by Antoine Brunei); Bibliography; Notation; Index. | |
| 505 | 0 | |a Chapter 1: Measure preserving and null preserving point mappings; 1.1 Von Neumann's mean ergodic theorem, ergodicity; 1.2 Birkhoff's ergodic theorem; 1.3 Recurrence; 1.4 Shift transformations and stationary processes; 1.5 Kingman's subadditive ergodic theorem and the multiplicative ergodic theorem of Oseledec; 1.6 Relatives of the maximal ergodic theorem; 1.7 Some general tools and principles; Chapter 2: Mean ergodic theory; 2.1 The mean ergodic theorem; 2.2 Uniform convergence; 2.3 Weak mixing, continuous spectrum and multiple recurrence. | |
| 520 | |a Ergodic Theorems (De Gruyter Studies in Mathematics). | ||
| 650 | 0 | |a Ergodic theory. |0 http://id.loc.gov/authorities/subjects/sh85044600 | |
| 650 | 6 | |a Théorie ergodique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Ergodic theory. |2 fast |0 (OCoLC)fst00914656 | |
| 650 | 7 | |a Théorie ergodique. |2 ram | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Brunel, Antoine. | |
| 776 | 0 | 8 | |i Print version: |a Krengel, Ulrich, 1937- |t Ergodic theorems. |d Berlin ; New York : Walter de Gruyter, 1985 |w (DLC) 85004457 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 6. |0 http://id.loc.gov/authorities/names/n83742913 | |
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| 928 | |t Library of Congress classification |a QA313 .K74 1985eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=560070 |z eBooks on EBSCOhost |g ebooks |i 12377416 | ||