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.
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