Ergodic behavior of Markov processes : with applications to limit theorems /
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| Author / Creator: | Kulik, Alexei, author. |
|---|---|
| Imprint: | Berlin [Germany] : De Gruyter, 2018. ©2018 |
| Description: | 1 online resource (268 pages) |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics, 0179-0986 ; volume 67 De Gruyter studies in mathematics ; 67. |
| Subject: | Markov processes -- Textbooks. Ergodic theory. MATHEMATICS -- Applied. MATHEMATICS -- Probability & Statistics -- General. Ergodic theory. Markov processes. Electronic books. Electronic books. Textbooks. |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12018291 |
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| 100 | 1 | |a Kulik, Alexei, |e author. | |
| 245 | 1 | 0 | |a Ergodic behavior of Markov processes : |b with applications to limit theorems / |c Alexei Kulik. |
| 264 | 1 | |a Berlin [Germany] : |b De Gruyter, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (268 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematics, |x 0179-0986 ; |v volume 67 | |
| 505 | 0 | |a Introduction -- Part I: Ergodic Rates for Markov Chains and Processes -- 1. Markov Chains with Discrete State Spaces -- 2. General Markov Chains: Ergodicity in Total Variation -- 3. Markov Processes with Continuous Time -- 4. Weak Ergodic Rates -- Part II: Limit Theorems -- 5. The Law of Large Numbers and the Central Limit Theorem Show Level 6 Functional Limit Theorems. | |
| 520 | |a The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples.--Provided by publisher. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed February 6, 2018) | |
| 504 | |a Includes bibliographical references (pages 249-254) and author index. | ||
| 650 | 0 | |a Markov processes |v Textbooks. | |
| 650 | 0 | |a Ergodic theory. |0 http://id.loc.gov/authorities/subjects/sh85044600 | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Ergodic theory. |2 fast |0 (OCoLC)fst00914656 | |
| 650 | 7 | |a Markov processes. |2 fast |0 (OCoLC)fst01010347 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 655 | 7 | |a Textbooks. |2 fast |0 (OCoLC)fst01423863 | |
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| 776 | 0 | 8 | |i Print version: |a Kulik, Alexei. |t Ergodic behavior of Markov processes. |d Berlin [Germany] : De Gruyter, 2018 |z 9783110458701 |z 3110458705 |w (OCoLC)1017089483 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 67. |0 http://id.loc.gov/authorities/names/n83742913 | |
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| 928 | |t Library of Congress classification |a QA274.7 .K85 2018eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=1639788 |z eBooks on EBSCOhost |g ebooks |i 12458668 | ||