Dynamics of unicritical polynomials (real and complex).

• (joint with John Milnor) The Fibonacci unimodal map. J. Amer. Math. Soc., v. 6 (1993), 425-457.

• Combinatorics, geometry and attractors of quasi-quadratic maps. Annals of Mathematics, v. 140 (1994), 347-404.
• See also: Note on the geometry of generalized parabolic towers.

• Dynamics of quadratic polynomials, I-II. Acta Mathematica, v. 178 (1997), 185-297.
  

• (joint with Michael Yampolsky) Dynamics of quadratic polynomials: Complex bounds for real maps. Annalles de l'Institut Fourier, v. 47 (1997), \# 4, 1219 - 1255.

• Dynamics of quadratic polynomials III: parapuzzle and SBR measures. Asterisque volume in honor of Adrien Douady's 60th birthday ``G\'eom\'etrie complexe et syst\'emes dynamiques'', v. 261 (2000), 173 - 200.

• How big is the set of infinitely renormalizable quadratics? The volume "Voronezh Winter Mathematical Schools" in honor of 80th birthday of S.G. Krein. AMS Transl. (2), v. 184 (1998), 131 - 143.

• Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture. Annals of Mathematics, v. 149 (1999), 319 - 420.

• Almost every real quadratic map is either regular or stochastic. Annals of Mathematics, v. 156 (2002), 1 - 78.

• (joint with A. Avila and W. de Melo) Regular or stochastic dynamics in real analytic families of unimodal maps. Preprint IMS at Stony Brook, #2001/15.

• Hausdorff dimension and conformal measures of Feigenbaum Julia sets (joint with Artur Avila). Journal of the AMS, 21 (2008), 305--383.

• Quasi-Additivity Law in conformal geometry (joint with Jeremy Kahn). Annals of Mathematics , 169 (2009), 561--593.

• Local connectivity of Julia sets for unictritical polynomials (joint with Jeremy Kahn). Annals of Mathematics, 170 (2009), 413--426.

• Combinatorial rigidity for unicritical polynomials (joint with A. Avila, J. Kahn and W. Shen). Annals of Mathematics, 170 (2009), 783--797.
  Two-dimensional dynamics (real and complex).

• (joint with Eric Bedford \& John Smillie) Polynomial diffeomorphisms of ${\bf C}^2$, IV: The measure of maximal entropy and laminar currents. Inventions Math., v. 112 (1993), 77 - 125.

• (joint with Eric Bedford \& John Smillie) Distribution of periodic points of polynomial diffeomorphisms of ${\bf C}^2$. Inventions Math., v. 114 (1993), 277 - 288.

• Renormalization in the H\'enon family (joint with Andre de Carvalho and Marco Martens). Journal of Statistical Physics: Special issue dedicated to Feigenbaum's 60th birthday, v. 121 (2006), 611--669.
  Laminations.

• (joint with Yair Minsky) Laminations in holomorphic dynamics. J. Diff. Geom., v. 47 (1997), 17 - 94.

• (joint with Vadim Kaimanovich) Conformal and harmonic measures on laminations associated with rational maps. Preprint IMS at Stony Brook #2001/5.

• Laminations and Holomorphic Dynamics. Lecture Notes of the mini-course given at the Conference ``New Directions in Dynamical Systems" in Kyoto, August 2002.
  
  Surveys

• Milnor's attractors, persistent recurrence and renormalization, ``Topological Methods in Modern Mathematics, A Symposium in Honor of John Milnor's 60th Birthday", Publish or Perish, 1993.

• On the borderline of real and complex dynamics. Proc. ICM, Z\"urich 1994. Birkh\"auser 1995, v. 2, 1203 -- 1215.

• Renormalization ideas in conformal dynamics. Cambridge Seminar ``Current Developments in Math.", May 1995. International Press, 1995. Cambridge, MA, 155 - 184.

• The quadratic family as a qualitatively solvable model of chaos. Notices of the American Math. Society, October 2000.

• Six Lectures on Real and Complex Dynamics. (based on European Lectures given in Barcelona, Copenhagen and St Petersburg in May-June 1999).
  Reviews.

• Review on the books by C. McMullen ``Complex dynamics and renormalization" and ``Renormalization and 3-manifolds which fiber over the circle". Bulletin of the AMS, v. 36 (1999), 103 - 107.

Remark. The above papers (with underlined titles) are stored as compressed postscript files. To get a file click on its title. To uncompress the file, use command ``gunzip". For example, the paper ``Feigenbaum-Coullet-Tresser Universality..." is stored as ``universe.ps.gz". By means of ``gunzip universe.ps.gz" you will create a postscript file named ``universe.ps". It can be then printed out by standard means.