Dmitry Dolgopyat's home page

Some papers and preprints.

Research

  1. Multifractal properties of sets of zeroes of Brownian path , (with Vadim Sidorov) Fundamenta Mathematicae 147 (1995) 157-171.
  2. Bounded orbits of Anosov flows , Duke Math. J. 87 (1997) 87-114.
  3. Entropy of coupled map lattices , J. Stat. Phys. 86 (1997) 377-389.
  4. Decay of Correlations
  5. Every compact manifold carries a complitely hyperbolic diffeomorphism , (with Yakov Pesin ), Ergodic Theory and Dynamical Systems , 22 (2002) 409-437.
  6. Stable accessibility is C1 dense , (with Amie Wilkinson ), Asterisque 287 (2003), 33-60.
  7. Limit Theorems for partially hyperbolic systems , Transactions of the AMS 356 (2004) 1637-1689.
  8. Perturbation Theory for Invariant measures
  9. Dynamics of Stochastic Flows (with Vadim Kaloshin and Leonid Koralov)
  10. Livsic theory for compact group extensions of hyperbolic systems , Moscow Math. J. 5 (2005) 55-66.
  11. On simultaneous linearization of diffeomorphisms of the sphere , (with Raphael Krikorian ), Duke Math. J. , 136 (2007) 475-505.
  12. Evolution of adiabatic invariants in stochastic averaging , Stochastics and Dynamics 4 (2004) 265-275.
  13. Brownian Brownian Motion-1, (with Nikolai Chernov ), Memoirs AMS, vol. 198, no 927 (2009).
  14. Small random perturbations of area preserving flows
  15. Dynamics of Lorentz gas
  16. Fermi acceleration
  17. Particle's drift in self-similar billiards, (with Nikolai Chernov ), Ergodic Theory and Dynamical Systems 28 (2008) 389-403.
  18. Repulsion from Resonances , Memoires SMF 128 (2012).
  19. Energy transfer in a fast-slow Hamiltonian system (with Carlangelo Liverani ), Comm. Math. Phys. 308 (2011) 201-225.
  20. Limit theorems for dispersing billiards with cusps (with Peter Balint and Nikolai Chernov ), Comm. Math. Phys. 308 (2011) 479-510.
  21. Random walks in random environment
  22. Excited random walks
  23. Convergence of moments for dispersing billiards with cusps , (with Peter Balint and Nikolai Chernov ), preprint.
  24. Dynamics of toral translations
  25. Noncollision singularities in the planar two-center-two-body problem, with Jinxin Xue, preprint.

Expositiory

  1. Addendum to the paper Periodic points and dynamical spectra , by Viviane Baladi (with Mark Pollicott ) Ergodic Theory and Dynamical Systems 18 (1998) 293-301.
  2. Addendum to the paper Lectures on Lyapunov exponents and smooth ergodic theory by Luis Barreira and Yakov Pesin (with Hyui Hu and Yakov Pesin ), Proceedings of Symposia in Pure Mathematics 69 (2001) 95-106.
  3. Lectures on u-Gibbs states , Evanston, May 31-June 2, 2001.
  4. Sample path properties of random transformations , Kyoto, August 12, 2002,
  5. Introduction to averaging , Institut Henri Poincare, april-july 2005.
  6. Stable ergodicity for partially hyperbolic attractors with negative central exponents , (with Keith Burns , Yakov Pesin and Mark Pollicott ), J. Modern Dynamics 2 (2008) 63-81.
  7. Hyperbolic billiards and statistical physics , (with Nikolai Chernov ), ICM, Madrid, August 2006.
  8. Diffusive motion and recurrence on generalized Galton board , (with Nikolai Chernov ), Phys. Rev. Lett. , 99 (2007) paper 030601.
  9. Fermi acceleration , Canadian Mathematical Society Winter Meeting. December 2006.
  10. Limit Theorems for Hyperbolic Systems, Beijing, August 2009.
  11. Piecewise smooth perturbations of integrable systems, International Congress of Mathematical Physics, Aalborg, Denmark, August 2012.
  12. Lectures on Bouncing Balls, Murcia, Spain, January 2013.
  13. Limit theorems for toral translations (with Bassam Fayad), Lousagne, June 2013.
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