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

BOOKS



Handbook of Dynamical Systems 3
(with H.Broer & F. Takens, eds.)

North Holland
(in preparation)


Handbook of Dynamical Systems 1B
(with A. Katok, eds.)

North Holland, 2005


Modern Dynamical Systems and Applications (with M. Brin & Y. Pesin, eds.)

Cambridge University Press, 2004

Dynamics: A first course (with A. Katok)

Cambridge University Press, 2003

Dynamics: A first course  Paperback

Cambridge University Press, 2003

Dynamics: A first course  Russian translation

Publishing House of the Moscow Center for Continued
Mathematical Education, 2005


Handbook of Dynamical Systems 1A
(with A. Katok, eds.)

North Holland, 2002

Introduction to the Modern Theory of Dynamical Systems (with A. Katok)

Cambridge University Press, 1995
[MR 96c:58055]

Introduction to the Modern Theory of Dynamical Systems  Paperback

Cambridge University Press, 1996
[MR 96c:58055]

Introduction to the Modern Theory of Dynamical Systems  Russian Translation

Publishing House Faktorial, 1999
[MR 96c:58055]

Introduction to the Modern Theory of Dynamical Systems  Portuguese Translation

Fundação Calouste Gulbenkian, Lisboa,
Portugal, 2005.
[MR 96c:58055]


ARTICLES (stale listing)



Partially hyperbolic dynamics (with Y. Pesin)

in: Handbook of Dynamical Systems, vol. 1B, North Holland, 2005

Dimension product structure of hyperbolic sets (with J. Schmeling)

Electronic Research Announcements of the American Mathematical Society, 2004

Dimension product structure of hyperbolic sets (with J. Schmeling)

in: Modern Dynamical Systems and Applications, pp. 331345,
Cambridge University Press, 2004

Zygmund strong foliations (with P. Foulon)

Israel Journal of Mathematics
138
(2003)
157188

Anosov and AxiomA systems (with L.S. Young)

in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004

Measures

in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004

Phase space

in: Encyclopedia of Nonlinear Science,
Fitzroy Dearborn / Routledge / Taylor and Francis, 2004

The Riccati equation: Pinching of forcing and solutions (with M. Gerber and D. Keesing)

Experimental Mathematics
12
no. 2
(2003)
129134

Differentiability of the HartmanGrobman Linearization (with M. Guysinsky and V. Rayskin)

Discrete and Continuous Dynamical Systems
9
no. 4
(2003)
979984

Critical regularity of invariant foliations

Discrete and Continuous Dynamical Systems
8
no. 4
(2002)
931937
[MR 2003g:37044]

The development of dynamics in the 20th century and the contribution of Jürgen Moser

Ergodic Theory and Dynamical Systems
22
no. 5
(2002)
13431364
[MR 2003h:37001]

Principal Structures (with A. Katok)

in: Handbook of Dynamical Systems, vol. 1A, North Holland, 2002

Hyperbolic dynamics

in: Handbook of Dynamical Systems, vol. 1A, North Holland, 2002

Prevalence of NonLipschitz Anosov foliations (with A. Wilkinson)

Ergodic Theory and Dynamical Systems
19
no. 3
(1999)
643656
[MR 2000f:37035]

Prevalence of NonLipschitz Anosov foliations (with A. Wilkinson)

Electronic Research Announcements of the American Mathematical Society
3
(1997)
9398
[MR 98g:58140]

Regularity of the Anosov splitting III

ETH Zürich preprint
28, 1996

Regularity of the Anosov splitting II

Ergodic Theory and Dynamical Systems
17
no. 1
(1997)
169172
[MR 98d:58135]

Regularity of the Anosov splitting and of Horospheric foliations

Ergodic Theory and Dynamical Systems
14
no. 4
(1994)
645666
[MR 95j:58130]

Periodic bunching and invariant foliations

Mathematical Research Letters
1
no. 5
(1994)
597600
[MR 95h:58097]

Horosperic foliations and relative pinching

Journal of Differential Geometry
39
no. 1
(1994)
5763
[MR 95c:58137]

Anosov obstructions in higher dimension

International Journal of Mathematics
4
no. 3
(1993)
395407
[MR 95d:58102]

Bootstrapping regularity of the Anosov splitting

Proceedings of the American Mathematical Society
115
no. 3
(1992)
817819
[MR 92i:58138]

A Construction of the Margulis measure for Anosov flows

Ergodic Theory and Dynamical Systems
9
no. 3
(1989)
465468
[MR 91b:58192]
You can also check with
Mathematical
Reviews (or read about it),
for whom I am a reviewer.