Global smooth rigidity for toral automorphisms.
(with V. Sadovskaya and Z. Wang) Submitted.
pdf
On regularity of conjugacy between linear cocycles over partially hyperbolic systems.
(with V. Sadovskaya) Discrete and Continuous Dynamical Systems, Vol. 44, no. 5 (2024), 1287-1303.
pdf
Non-stationary normal forms for contracting extensions.
"A Vision for Dynamics in the 21st Century", pp. 207-231, Cambridge University Press (2024).
pdf
Smooth local rigidity for hyperbolic toral automorphisms.
(with V. Sadovskaya and Z. Wang) Communications of the American Mathematical Society, Volume 3 (2023), 290-328
pdf
Center foliation rigidity for partially hyperbolic toral diffeomorphisms.
(with
A. Gogolev and V. Sadovskaya) Mathematische Annalen. 387 (2023), 1579-1602.
pdf
Local rigidity for hyperbolic toral automorphisms.
(with V. Sadovskaya and Z. Wang) Mathematics Research Reports, Volume 3 (2022), 57-68
pdf
Local rigidity of Lyapunov spectrum for toral automorphisms.
(with A. Gogolev and V. Sadovskaya) Israel Journal of Mathematics, 238 (2020), 389-403.
pdf
Periodic approximation of Lyapunov exponents for Banach cocycles.
(with V. Sadovskaya) Ergodic Theory and Dynamical Systems, 39 (2019), no. 3, 689-706.
pdf
Lyapunov exponents of cocycles over non-uniformly hyperbolic systems.
(with V. Sadovskaya) Discrete and Continuous Dynamical Systems, vol. 38, no. 10 (2018), 5105-5118.
pdf
Boundedness, compactness, and invariant norms for Banach cocycles over hyperbolic systems.
(with V. Sadovskaya) Proceedings of the AMS, vol. 146, no. 9 (2018), 3801-3812.
pdf
Normal forms for non-uniform contractions.
(with V. Sadovskaya) Journal of Modern Dynamics, Vol. 11 (2017), 341-368.
pdf
Normal forms on contracting foliations: smoothness and homogeneous structure.
(with V. Sadovskaya)
Geometriae Dedicata, Vol. 183 (2016), no. 1, 181-194.
pdf
Holonomies and cohomology for cocycles over partially hyperbolic
diffeomorphisms.
(with V. Sadovskaya)
Discrete and Continuous Dynamical Systems. Vol. 36, Issue 1 (2016), 245-259.
pdf
Global rigidity of higher rank Anosov actions on tori and nilmanifolds.
(with D. Fisher and R. Spatzier; Appendix by James F. Davis)
Journal of the American Mathematical Society,
26 (2013), no. 1, 167-198.
pdf
Cocycles with one exponent over partially hyperbolic systems.
(with V. Sadovskaya)
Geometriae Dedicata, Vol. 167 no. 1 (2013), 167-188.
pdf
Nonuniform measure rigidity.
(with A. Katok and F. Rodriguez Hertz)
Annals of Mathematics 174 (2011), no. 1, 361-400.
pdf
Livsic Theorem for matrix cocycles. Annals of Mathematics 173 (2011), no. 2, 1025-1042. pdf
Local rigidity for Anosov automorphisms.
(with A. Gogolev and V. Sadovskaya;
Appendix by R. de la Llave)
Mathematical Research Letters, 18 (2011), no. 05, 843-858.
pdf
Totally non-symplectic Anosov actions on tori and nilmanifolds.
(with D. Fisher and
R. Spatzier) Geometry and Topology 15 (2011) 191-216.
pdf
Linear cocycles over hyperbolic systems and criteria of conformality.
(with V. Sadovskaya)
Journal of Modern Dynamics, Vol. 4 (2010), no. 3, 419-441.
pdf
On Anosov diffeomorphisms with asymptotically conformal periodic data.
(with V. Sadovskaya)
Ergodic Theory and Dynamical Systems 29 (2009), no. 1, 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.
pdf