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Lyapunov Exponents and Smooth Ergodic Theory

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov;

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Lyapunov Exponents

This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with;

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Ergodic Theory

This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas;

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Lectures on Lyapunov Exponents

to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based;

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Nonuniform Hyperbolicity

comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Dynamical Systems and Linear Algebra

recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a;

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Lyapunov Exponents

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical;

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Smooth Ergodic Theory for Endomorphisms

, Riemannian geometry, etc. Hence smooth ergodic theory is the meeting ground of many different ideas in pure and applied mathematics. It has witnessed;

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Topics in Dynamics and Ergodic Theory

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it;

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Topological Dynamics and Applications

ergodic theory, combinatorial number theory and differential equations. There are three parts: the abstract theory of topological dynamics;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Qualitative and Quantitative Behaviour of Planetary Systems

classification into families are also discussed. Specific topics addressed are KAM theory, chaotic motions, resonances, Lyapunov characteristic exponents;

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin;

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Topics in the Constructive Theory of Countable Markov Chains

present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent;

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Topics in the Constructive Theory of Countable Markov Chains

present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent;

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An Introduction to the Kolmogorov Bernoulli Equivalence

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non;

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Infinite Ergodic Theory of Numbers

By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area;

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Chaos Theory Tamed

-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents. Only basic algebra, trigonometry, geometry and statistics are assumed as;

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Chaos Theory Tamed

-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents. Only basic algebra, trigonometry, geometry and statistics are assumed as;

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An Introduction to Ergodic Theory

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such;

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Ergodic Theory

This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and;

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Lyapunov Exponents of Linear Cocycles

The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an;

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Determining Thresholds Of Complete Synchronization, And Application

This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent;

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Operator Theoretic Aspects of Ergodic Theory

courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and;

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