Dimension Theory in Dynamical Systems: Contemporary Views and Applications

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Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, 1998 ISBN: 0-226-66222-5 (Russian Translation, Moscow--Izevsk, 2002)

Lyapunov Exponents and Smooth Ergodic Theory
(with L. Barreira)

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University Lecture Series, v. 23, AMS, Providence, 2001 ISBN: 0-8218-2921-1

Lectures on Partial Hyperbolicity and Stable Ergodicity

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Zurich Lectures in Advanced Mathematics, EMS, 2004 ISBN: 3-03719-003-5 (Russian Translation, Moscow Independent University, 2006).

Nonuniformly Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (with L. Barreira)

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Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 2007, ISBN 978-0-521-83258-8

Lectures on Fractal Geometry and Dynamical Systems
(with V. Climenhaga)

Student Mathematical Library, 52, AMS, Providence, RI 2009, ISBN 978-0-8218-4889-0

Introduction to Smooth Ergodic Theory.
Second Edition
(with L. Barreira)

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Graduate Studies in Mathematics, 231, AMS, Providence, RI 2023, ISBN 978-1-4704-7065-4