Publications


  • Herman's last geometric theorem (with R. Krikorian) Ann. Sci. Ecole Norm. Sup. 42 (2009), p. 193--219 pdf

  • Smooth Linearization of commuting circle diffeomorphisms (with K. Khanin) Ann. Math. 170 (2009),p. 961-980 pdf

  • Unbounded orbits for Semicircular Outer Billiard , Ann. Henri Poincare 10 (2008), p. 357-375 pdf

  • Continuous spectrum on laminations over Aubry-Mather sets. Disc. and Cont. Dyn. Sys. 21 (2008), p. 823-834 ps pdf

  • Exponential growth of products of matrices in SL(2,R) (with R. Krikorian) Nonlinearity 21 (2008), p. 319-323 pdf

  • Nonstandard Smooth Realizations of Liouville Rotations (with M. Saprykina and A. Windsor) Ergodic Theory Dynam. Systems 27 (2007), p. 1803-1818 pdf

  • A Dichotomy between discrete and continuous spectrum for a class of special flows over rotations (with A. Windsor ). J. Mod. Dyn. 1 (2007), no. 1, 107--122. ps pdf

  • Smooth mixing flows with singular spectra. Duke Math. J. 132 Number 2 (2006), p. 371-391. ps pdf

  • Mixing in the absence of the Shrinking Target Property. J. London Math. Soc. volume 38 (2006), p. 829--838. ps pdf

  • On the ergodicity of cylindrical transformations given by the logarithm (with Mariusz Lemanczyck). Moscow Math. J. 6 (2006), Number 4, p. 657--672. ps pdf

  • On the ergodicity of the Weyl sums cocycle. Acta Arith. 125 (2006), p. 305--316. ps pdf

  • A remark on conservative dynamics (with J. Bochi and E. Pujals). Comptes Rendus Acad. Sci. Paris, Ser. I 342 (2006), p. 763--766. ps pdf

  • A dichotomy between uniform hyperbolicity and zero Lyapunov epxonents for SL(2,R) cocycles (with Jairo Bochi, preliminary version). Bull. of the Braz. Math. Soc., 37, no. 3 (2006), p\ . 307-349. ps pdf

  • Rank one and mixing differentiable flows, Invent. Math. 160 (2005), no. 2, p. 305--340. ps , pdf

  • Weak mixing disc and annulus diffeomorphisms with arbitrary Liouvillean rotation number on the boundary (with M. Saprykina) Ann. Sci. École Norm. Sup. 38 (2005), no. 3, p. 339--364. ps, pdf

  • Constructions in elliptic dynamics (with A. Katok ) , Dedicated to the memory of M. Herman, Ergodic Theory Dynam. Systems, 24 (2004), p. 1477--1520. pdf

  • Non unmiform hyperbolicity and elliptic dynamics. , in Modern Dynamical Systems and Applications, edited by M. Brin, B. Hasselblatt, Y. Pesin, (2004) Cambridge, p. 325--330. ps , pdf

  • Topologically mixing flows with pure point spectrum , Proceedings of the research trimester on dynamical systems (Pisa 2002). Pubblicazioni della Classe di Scienze, Scuola Normale Superiore, Pisa. ps , pdf

  • Analytic mixing reparametrizations of irrational flows , Ergodic Theory Dynam. Systems , volume 22 (2002), no. 2, p. 437--468. ps , pdf

  • Weak mixing for reparameterized linear flows on the torus , Ergodic Theory Dynam. Systems , volume 22 (2002), no. 1, p. 187--201. ps , pdf

  • Skew products over translations on Td, d &ge 2, Proc. Amer. Math. Soc. volume 130 (2002), no. 1, p. 103--109. ps , pdf

  • Polynomial decay of correlations for a class of smooth flows on the two torus , Bull. Soc. Math. France tome 129 (2001), no. 4, p. 487--503. ps , pdf

  • Partially mixing and locally rank 1 smooth transformations and flows on the torus Td, d &ge 3, J. London Math. Soc. volume 64 (2001), no. 3, p. 637--654. ps , pdf

  • Mixed spectrum reparameterizations of linear flows on T2 (with A. Katok and A. Windsor ). Dedicated to the memory of I. G. Petrovskii on the occasion of his 100th anniversary , Mosc. Math. J. volume 1 (2001), no. 4, p. 521--537. ps , pdf

  • Topologically mixing and minimal but not ergodic, analytic transformation on T5, Bol. Soc. Brasil. Mat. (N.S.) , volume 31 (2000), no. 3, p. 277--285. ps , pdf


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