Cargando…
Lyapunov Exponents of Linear Cocycles Continuity via Large Deviations /
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Atlantis Studies in Dynamical Systems,
3 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-6239-124-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220223102329.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160321s2016 fr | s |||| 0|eng d | ||
| 020 | |a 9789462391246 |9 978-94-6239-124-6 | ||
| 024 | 7 | |a 10.2991/978-94-6239-124-6 |2 doi | |
| 050 | 4 | |a QA843-871 | |
| 072 | 7 | |a GPFC |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a GPFC |2 thema | |
| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Duarte, Pedro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lyapunov Exponents of Linear Cocycles |h [electronic resource] : |b Continuity via Large Deviations / |c by Pedro Duarte, Silvius Klein. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2016. | |
| 300 | |a XIII, 263 p. 4 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Dynamical Systems, |x 2213-3534 ; |v 3 | |
| 505 | 0 | |a Introduction -- Estimates on Grassmann Manifolds -- Abstract Continuity of Lyapunov Exponents -- The Oseledets Filtration and Decomposition -- Large Deviations for Random Cocycles -- Large Deviations for Quasi-Periodic Cocycles -- Further Related Problems. | |
| 520 | |a The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle. We establish such estimates for various models of random and quasi-periodic cocycles. Our method has its origins in a paper of M. Goldstein and W. Schlag. Our present work expands upon their approach in both depth and breadth. We conclude this monograph with a list of related open problems, some of which may be treated using a similar approach. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 700 | 1 | |a Klein, Silvius. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391239 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391253 |
| 830 | 0 | |a Atlantis Studies in Dynamical Systems, |x 2213-3534 ; |v 3 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-6239-124-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||