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Oseledec multiplicative ergodic theorem for laminations /
"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative c...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Documento de Gobierno Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1164. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 001 | EBOOKCENTRAL_ocn968214336 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 019 | |a 993767991 | ||
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| 020 | |a 147043637X |q (online) | ||
| 020 | |z 9781470422530 |q (alk. paper) | ||
| 020 | |z 1470422530 |q (alk. paper) | ||
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| 035 | |a (OCoLC)968214336 |z (OCoLC)993767991 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Nguyên, Viêt-Anh, |d 1974- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjM8mCkBrPTHGQqRMjkDD3 | |
| 245 | 1 | 0 | |a Oseledec multiplicative ergodic theorem for laminations / |c Viêt-Anh Nguyên. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (ix, 174 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 Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 246, number 1164 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 246, Number 1164 (third of 6 numbers), March 2017." | ||
| 504 | |a Includes bibliographical references (pages 165-166) and index. | ||
| 505 | 0 | 0 | |g Acknowledgement -- |g Chapter 1. Introduction -- |g Chapter 2. Background -- |g Chapter 3. Statement of the main results -- |g Chapter 4. Preparatory results -- |g Chapter 5. |t Leafwise Lyapunov exponents -- |g Chapter 6. |t Splitting subbundles -- |g Chapter 7. |t Lyapunov forward filtrations -- |g Chapter 8. |t Lyapunov backward filtrations -- |g Chapter 9. Proof of the main results -- |g Appendix A. |t Measure theory for sample-path spaces -- |g Appendix B. |t Harmonic measure theory and ergodic theory for sample-path spaces. |
| 520 | |a "Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative cocycles. Next, we define the Lyapunov exponents of such a cocycle with respect to a harmonic probability measure directed by the lamination. We also prove an Oseledec multiplicative ergodic theorem in this context. This theorem implies the existence of an Oseledec decomposition almost everywhere which is holonomy invariant. Moreover, in the case of differentiable cocycles we establish effective integral estimates for the Lyapunov exponents. These results find applications in the geometric and dynamical theory of laminations. They are also applicable to (not necessarily closed) laminations with singularities. Interesting holonomy properties of a generic leaf of a foliation are obtained. The main ingredients of our method are the theory of Brownian motion, the analysis of the heat diffusions on Riemannian manifolds, the ergodic theory in discrete dynamics and a geometric study of laminations."--Publisher website | ||
| 546 | |a Text in English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Ergodic theory. | |
| 650 | 0 | |a Topological spaces. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Foliations (Mathematics) | |
| 650 | 6 | |a Théorie ergodique. | |
| 650 | 6 | |a Espaces topologiques. | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 6 | |a Feuilletages (Mathématiques) | |
| 650 | 7 | |a Ergodic theory |2 fast | |
| 650 | 7 | |a Foliations (Mathematics) |2 fast | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Topological spaces |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Oseledec multiplicative ergodic theorem for laminations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG9GjhJKmr7C4j4XJ8TXbb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Nguyên, Viêt-Anh, 1974- |t Oseledec multiplicative ergodic theorem for laminations |z 9781470422530 |w (DLC) 2016055233 |w (OCoLC)965754141 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1164. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908280 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4908280 | ||
| 938 | |a YBP Library Services |b YANK |n 14683152 | ||
| 994 | |a 92 |b IZTAP | ||