DMCA. Copyrighted Work that you can Claim.
Base have 820 524 books.
Search: 


πŸ“™ Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations by Pedro Duarte, Silvius Klein (auth.) β€” epub download


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.



About book:

About file:

  • File size: 3 119 559
  • Format: pdf


Security code:
Download button

Similar books results


Local Lyapunov exponents: Sublimiting growth rates of linear random differential equations
Local Lyapunov exponents: Sublimiting growth rates of linear random differential equations download pdf by Wolfgang Siegert (auth.)

Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations.Specifically, a linear differential system is considered which is controlled by a stochas...

Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations
Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations free epub by Wolfgang Siegert (auth.)

Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations.Specifically, a linear differential system is considered which is controlled by a stochas...

Lyapunov Exponents
Lyapunov Exponents free epub by Ludwig Arnold, Volker Wihstutz

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents - one of the key concepts of dynamical systems - and in partic...

Lyapunov Exponents: Proceedings of a Conference held in Oberwolfach, May 28 – June 2, 1990
Lyapunov Exponents: Proceedings of a Conference held in Oberwolfach, May 28 – June 2, 1990 free download by Ludwig Arnold, Hans Crauel (auth.), Ludwig Arnold, Hans Crauel, Jean-Pierre Eckmann (eds.)

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents - one of the key concepts of dynamical systems - and in particular, prono...

Large deviation for Brownian motion in a random scenery
Large deviation for Brownian motion in a random scenery free download by Asselah A., Castell F.

We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded variables, independent of the Brownian motion. This model is a time-continu...

A weak convergence approach to the theory of large deviations
A weak convergence approach to the theory of large deviations free epub by Paul Dupuis, Richard S. Ellis

Applies the well-developed tools of the theory of weak convergence of probability measures to large deviation analysisβ€”a consistent new approach The theory of large deviations, one of the most dynamic topics in probability today, studies rare events...

Lyapunov exponents and smooth ergodic theory
Lyapunov exponents and smooth ergodic theory download pdf by Luis Barreira, Yakov B. Pesin

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute cont...

Large deviations for stochastic processes
Large deviations for stochastic processes epub download by Jin Feng, Thomas G. Kurtz

The book is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts. Part 1 gives necessary and sufficient conditions for exponential tightness that a...

Large deviations techniques and applications
Large deviations techniques and applications pdf free by Dembo A., Zeitouni O.

This book presents an introduction to the theory of large deviations. Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. The mathematics...