Global smooth rigidity for toral automorphisms
(with B. Kalinin and Z. Wang) Submitted. pdf
On regularity of conjugacy between linear cocycles over partially hyperbolic systems
(with B. Kalinin) Discrete and Continuous Dynamical Systems, Vol. 44, Issue 5 (2024), 1287-1303. pdf
Linear cocycles over hyperbolic systems
In "A Vision for Dynamics in the 21st Century," pp. 384-434, Cambridge University Press, 2024. pdf
Smooth local rigidity for hyperbolic toral automorphisms
(with B. Kalinin and Z. Wang) Communication of the AMS, Vol. 3 (2023), 290-328. pdf
Center foliation rigidity for partially hyperbolic toral diffeomorphisms
(with A. Gogolev and B. Kalinin) Mathematische Annalen, 387 (2023), 1579-1602.
pdf
Local rigidity for hyperbolic toral automorphisms
(with B. Kalinin and Z. Wang) Mathematics Research Reports, Vol. 3 (2022), 57-68. pdf
Diffeomorphism cocycles over partially hyperbolic systems
Ergodic Theory and Dynamical Systems. Vol. 42, Issue 1 (2022), 263-286. pdf
Local rigidity of Lyapunov spectrum for toral automorphisms
(with A. Gogolev
and B. Kalinin) Israel Journal of Mathematics, 238 (2020), 389-403. pdf
Boundedness and invariant metrics for diffeomorphism cocycles over hyperbolic systems
Geometriae Dedicata, Vol. 202, Issue 1 (2019), 401-417. pdf
Periodic approximation of Lyapunov exponents for Banach cocycles
(with B. Kalinin) Ergodic Theory and Dynamical Systems, 39 (2019), no. 3, 689-706. pdf
Lyapunov exponents of cocycles over non-uniformly hyperbolic systems
(with B. Kalinin) 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 B. Kalinin) Proceedings of the AMS, vol. 146, no. 9 (2018), 3801-3812. pdf
Fiber bunching and cohomology for Banach cocycles over hyperbolic systems
Discrete and Continuous Dynamical Systems, vol. 37, no. 9 (2017), 4959-4972. pdf
Normal forms for non-uniform contractions
(with B. Kalinin) Journal of Modern Dynamics, vol. 11 (2017), 341-368. pdf
Normal forms on contracting foliations: smoothness and homogeneous structure
(with B. Kalinin)
Geometriae Dedicata, Vol. 183, Issue 1 (2016), 181-194. pdf
Holonomies and cohomology for cocyces over partially hyperbolic diffeomorphisms
(with B. Kalinin) Discrete and Continuous Dynamical Systems, vol. 36, no. 1 (2016), 245-259.
pdf
Cohomology of fiber bunched cocycles over hyperbolic systems
Ergodic Theory and Dynamical Systems, Vol. 35, Issue 8 (2015), 2669-2688.
pdf
Cocycles with one exponent over partially hyperbolic systems
(with B. Kalinin) Geometriae Dedicata, Vol. 167, Issue 1 (2013), 167-188. pdf
Cohomology of GL(2,R)-valued cocycles over hyperbolic systems
Discrete and Continuous Dynamical Systems,
vol. 33, no. 5 (2013), 2085-2104. pdf
Local rigidity for Anosov automorphisms
(with A. Gogolev
and B. Kalinin; appendix by R. de la Llave)
Mathematical Research Letters, 18 (2011), no. 05, 843-858.
pdf
Linear cocycles over hyperbolic systems and criteria of conformality
(with B. Kalinin)
Journal of Modern Dynamics, vol. 4 (2010), no. 3, 419-441.
pdf
Dimensional characteristics of invariant measures for circle diffeomorphisms
Ergodic Theory and Dynamical Systems, 29 (2009), no. 6, 1979-1992. pdf
On Anosov diffeomorphisms with asymptotically conformal periodic data
(with B. Kalinin)
Ergodic Theory and Dynamical Systems, 29 (2009), no. 1, 117-136. pdf
On the classification of resonance-free Anosov Zk actions
(with B. Kalinin)
Michigan Mathematical Journal,
vol. 55 (2007), no. 3, 651-670. pdf
Global rigidity for totally nonsymplectic Anosov Zk actions
(with B. Kalinin) Geometry and Topology, vol. 10 (2006), 929-954. pdf
On the regularity of integrable conformal structures
invariant under Anosov systems
(with R. de la Llave)
Discrete and Continuous Dynamical Systems, vol. 12 (2005), no. 3, 377-385.
pdf
On local and global rigidity of quasiconformal Anosov diffeomorphisms
(with B. Kalinin)
Journal of the Institute of Mathematics of Jussieu,
2 (2003), no. 4, 567-582.
pdf
On uniformly quasiconformal Anosov systems
Mathematical Research Letters, vol. 12 (2005), no. 3, 425-441
(submitted in 2002).
pdf
On pointwise dimension of non-hyperbolic measures
(with B. Kalinin)
Ergodic Theory and Dynamical Systems, 22 (2002), no. 6, 1783-1801.
pdf
Multifractal analysis of conformal Axiom A flows
(with Ya. Pesin) Communications in Mathematical Physics (2001), 216, 277-312.
pdf