Nonuniform Measure Rigidity.
(with Anatole Katok and Federico Rodriguez Hertz)
Submitted.
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On Anosov diffeomorphisms with asymptotically conformal periodic data.
(with V. Sadovskaya)
To appear in Ergodic Theory and Dynamical Systems.
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On classification of resonance-free Anosov Z^k actions.
(with V. Sadovskaya)
Michigan Mathematical Journal, Vol 55 (2007), no. 3, page 651-670.
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Measure rigidity beyond uniform hyperbolicity:
invariant measures for Cartan actions on tori.
(with A. Katok)
Journal of Modern Dynamics,
Vol. 1 (2007), no. 1, 123-146.
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On the classification of Cartan actions.
(with
R. Spatzier) GAFA Geometric And Functional Analysis,
Vol. 17 (2007), 468-490.
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Global rigidity for totally nonsymplectic Anosov Z^k actions.
(with V. Sadovskaya)
Geometry and Topology, 10 (2006), 929-954.
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Rigidity of the measurable structure for algebraic actions of
higher rank abelian groups.
(with R. Spatzier) Ergodic Theory and Dynamical Systems,
25 (2005), no 1, 175-200.
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On Local and global rigidity of quasi-conformal Anosov diffeomorphisms.
(with V. Sadovskaya)
Journal of the Institute of Mathematics of Jussieu,
2 (2003), no. 4, 567-582.
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Measurable rigidity and disjointness for Z^k actions by toral
automorphisms.
(with A. Katok)
Ergodic Theory and Dynamical Systems,
22 (2002), no. 2, 507-523.
pdf
On pointwise dimension of non-hyperbolic measures.
(with V. Sadovskaya)
Ergodic Theory and Dynamical Systems, 22 (2002), no. 6, 1783--1801.
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Invariant measures for actions of higher rank abelian groups.
(with A. Katok) Proceedings of Symposia in Pure
Mathematics, Vol. 69 (2001), 593--637.
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Smoothness and singularities of convex hypersurfaces.
(with
Yu. Burago) St. Petersburg Mathematical Journal,
8
(1997), no. 3, 399--411.
Remarks on a theorem of Newman.
(with Yu. Burago) Siberian Mathematical Journal,
36
(1995), no. 5, 869--872.