Research information
I received my doctorate in 1989 from the California Institute of Technology.
You can see my mathematical genealogy here.
My research interests
are in dynamical systems (and differential geometry):
Dynamical systems, hyperbolic (Anosov) systems;
differential geometry, geodesic flows;
invariant structures, rigidity. You can see reviews of my
publications on MathSciNet.
Conferences in dynamical systems take place everywhere.
Publications
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BOOKS
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Handbook of Dynamical Systems 3
(with H.Broer & F. Takens, eds.)
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North Holland
(in preparation)
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Handbook of Dynamical Systems 1B
(with A. Katok, eds.)
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North Holland, 2005
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Modern Dynamical Systems and Applications (with M. Brin & Y. Pesin, eds.)
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Cambridge University Press, 2004
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Dynamics: A first course (with A. Katok)
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Cambridge University Press, 2003
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Dynamics: A first course - Paperback
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Cambridge University Press, 2003
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Dynamics: A first course - Russian translation
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Publishing House of the Moscow Center for Continued
Mathematical Education, 2005
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Handbook of Dynamical Systems 1A
(with A. Katok, eds.)
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North Holland, 2002
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Introduction to the Modern Theory of Dynamical Systems (with A. Katok)
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Cambridge University Press, 1995
[MR 96c:58055]
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Introduction to the Modern Theory of Dynamical Systems - Paperback
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Cambridge University Press, 1996
[MR 96c:58055]
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Introduction to the Modern Theory of Dynamical Systems - Russian Translation
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Publishing House Faktorial, 1999
[MR 96c:58055]
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Introduction to the Modern Theory of Dynamical Systems - Portuguese Translation
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Fundação Calouste Gulbenkian, Lisboa,
Portugal, 2005.
[MR 96c:58055]
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ARTICLES (stale listing)
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Partially hyperbolic dynamics (with Y. Pesin)
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in: Handbook of Dynamical Systems, vol. 1B, North Holland, 2005
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Dimension product structure of hyperbolic sets (with J. Schmeling)
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Electronic Research Announcements of the American Mathematical Society, 2004
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Dimension product structure of hyperbolic sets (with J. Schmeling)
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in: Modern Dynamical Systems and Applications, pp. 331--345,
Cambridge University Press, 2004
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Zygmund strong foliations (with P. Foulon)
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Israel Journal of Mathematics
138
(2003)
157--188
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Anosov and Axiom-A systems (with L.-S. Young)
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in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004
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Measures
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in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004
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Phase space
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in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004
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The Riccati equation: Pinching of forcing and solutions (with M. Gerber and D. Keesing)
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Experimental Mathematics
12
no. 2
(2003)
129--134
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Differentiability of the Hartman--Grobman Linearization (with M. Guysinsky and V. Rayskin)
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Discrete and Continuous Dynamical Systems
9
no. 4
(2003)
979--984
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Critical regularity of invariant foliations
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Discrete and Continuous Dynamical Systems
8
no. 4
(2002)
931-937
[MR 2003g:37044]
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The development of dynamics in the 20th century and the contribution of Jürgen Moser
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Ergodic Theory and Dynamical Systems
22
no. 5
(2002)
1343--1364
[MR 2003h:37001]
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Principal Structures (with A. Katok)
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in: Handbook of Dynamical Systems, vol. 1A, North Holland, 2002
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Hyperbolic dynamics
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in: Handbook of Dynamical Systems, vol. 1A, North Holland, 2002
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Prevalence of Non-Lipschitz Anosov foliations (with A. Wilkinson)
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Ergodic Theory and Dynamical Systems
19
no. 3
(1999)
643-656
[MR 2000f:37035]
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Prevalence of Non-Lipschitz Anosov foliations (with A. Wilkinson)
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Electronic Research Announcements of the American Mathematical Society
3
(1997)
93-98
[MR 98g:58140]
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Regularity of the Anosov splitting III
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ETH Zürich preprint
28, 1996
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Regularity of the Anosov splitting II
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Ergodic Theory and Dynamical Systems
17
no. 1
(1997)
169-172
[MR 98d:58135]
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Regularity of the Anosov splitting and of Horospheric foliations
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Ergodic Theory and Dynamical Systems
14
no. 4
(1994)
645-666
[MR 95j:58130]
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Periodic bunching and invariant foliations
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Mathematical Research Letters
1
no. 5
(1994)
597-600
[MR 95h:58097]
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Horosperic foliations and relative pinching
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Journal of Differential Geometry
39
no. 1
(1994)
57-63
[MR 95c:58137]
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Anosov obstructions in higher dimension
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International Journal of Mathematics
4
no. 3
(1993)
395-407
[MR 95d:58102]
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Bootstrapping regularity of the Anosov splitting
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Proceedings of the American Mathematical Society
115
no. 3
(1992)
817-819
[MR 92i:58138]
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A Construction of the Margulis measure for Anosov flows
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Ergodic Theory and Dynamical Systems
9
no. 3
(1989)
465-468
[MR 91b:58192]
You can also check with
Mathematical
Reviews (or read about it),
for whom I am a reviewer.