Totally non-symplectic Anosov actions on tori and nilmanifolds.
(with D. Fisher and R. Spatzier) Submitted.
pdf
Livsic Theorem for matrix cocycles. Submitted. pdf
Nonuniform measure rigidity.
(with A. Katok and F. Rodriguez Hertz)
Submitted.
pdf
On Anosov diffeomorphisms with asymptotically conformal periodic data.
(with V. Sadovskaya)
Ergodic Theory and Dynamical Systems, 29 (2009), 117 - 136.
pdf
New progress in nonuniform measure and cocycle rigidity.
(with A. Katok and F. Rodriguez Hertz)
Electronic Research Announcements
in Mathematical Sciences, Vol 15 (2008), 79-92.
pdf
On classification of resonance-free Anosov Z^k actions.
(with V. Sadovskaya)
Michigan Mathematical Journal, Vol 55 (2007), no. 3, 651-670.
pdf
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.
pdf
On the classification of Cartan actions.
(with
R. Spatzier) GAFA Geometric And Functional Analysis,
Vol. 17 (2007), 468-490.
pdf
Global rigidity for totally nonsymplectic Anosov Z^k actions.
(with V. Sadovskaya)
Geometry and Topology, 10 (2006), 929-954.
pdf
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.
pdf
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.
pdf
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.
pdf
Invariant measures for actions of higher rank abelian groups.
(with A. Katok) Proceedings of Symposia in Pure
Mathematics, Vol. 69 (2001), 593--637.
pdf
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.