Most of the papers since 1990, in their prelimenary form,
can be also downloaded from
the
IMS Preprint server
or from the
archive.
[1] The Fibonacci unimodal map. J. Amer. Math. Soc., v. 6 (1993), # 2, 425-457 (joint with John Milnor).
[2] Combinatorics, geometry and attractors of quasi-quadratic maps. Annals of Mathematics, v. 140 (1994), 347-404.
[3] Dynamics of quadratic polynomials, I-II. Acta Mathematica, v. 178 (1997), 185-297.
[4] Dynamics of quadratic polynomials: Complex bounds for real maps. Annalles de l'Institut Fourier, v. 47 (1997), # 4, 1219 - 1255 (joint with Michael Yampolsky).
[6] Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture. Annals of Mathematics, v. 149 (1999), 319 - 420.
[5]
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.
[7] Almost every real quadratic map is either regular or stochastic. Annals of Mathematics, v. 156 (2002), 1 - 78.
[8] The quadratic family as a qualitatively solvable model of chaos. Notices of the American Math. Society, October 2000.
All papers in this series are joint with Jeremy Kahn.
[1] Typical behaviour of trajectories of a rational mapping of the sphere. Dokl. Akad. Nauk SSSR, v. 268 (1982), 29 - 32.
[2] On the Lebesgue measure of the Julia set of a quadratic polynomial. Preprint IMS at Stony Brook, 1991, # 10.
[3]
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.
[4] Hausdorff dimension and conformal measures of Feigenbaum Julia sets. J. of the AMS, 21 (2008), 305--383 (joint with A. Avila).
All papers in this section, except [7], are joint with Sasha Blokh.
[1] Attractors of transformations of the interval. Functional Analysis and Appl., v. 21 (1987), 70 - 71.
[2] Ergodicity of transitive unimodal transformations of the interval. Ukrainian Math. J., v. 41 (1989), No 7, 985 - 988
[3] Attractors of maps of the interval. Banach Center Publ., v. 23 (1989), 427 - 442.
[4] On the decomposition of one-dimensional dynamical systems into
ergodic components.
Algebra and Analysis, v.1 (1989), 128 - 145.
English translation: Leningrad Math. J., v. 1 (1989), 137 - 155.
[4] Measure of solenoidal attractors of unimodal transformations of the interval. Math. Notes., v. 48 (1990), No 5, 15 - 20.
[5] Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Comm. Math. Phys., v. 127 (1990), 573-583.
[6] Measurable dynamics of S-unimodal maps of the interval. Annalles Scientifique Ecole Normale Sup., v. 24 (1991), 545-573.
[7] Ergodic Theory for smooth one-dimensional dynamical systems. Preprint IMS at Stony Brook, 1991, No 11.
Non-existence of wandering intervals and structure of topological attractors
of one-dimensional dynamical systems, I. The case of negative Schwarzian derivative.
Ergodic Theory and Dynamical Systems, v. 9 (1989), No 4, 737-750.
Non-existence of wandering intervals and structure of topological attractors
of one-dimensional dynamical systems, II. The smooth case.
Ergodic Theory and Dynamical Systems,
v. 9 (1989), No 4, 751 - 758 (joint with A. Blokh).
All papers in this section, except [4,5], are joint with Alex Eremenko.
[1] Iterations of entire functions. Dokl. Akad. Nauk SSSR, v. 279 (1984), No 1, 25-27.
[2] Examples of entire functions with pathological dynamics. J. London Math. Soc., v. 36 (1987), 458 - 468.
[3] Dynamical properties of some classes of entire functions. Ann. Inst. Fourier, v. 42 (1992), No 4, 989-1020.
[4] On typical behaviour of trajectories of the exponential function. Russian Math, Surveys, v. 41 (1986), 199 - 200.
[5]
Measurable dynamics of the exponential.
Siberian Math. J., v. 28 (1987), No 5, 111 - 127.
[1] Some typical properties of the dynamics of rational maps. Russian Math. Surveys, v. 38 (1983), No 5, 154-155.
[2] An analysis of stability of the dynamics of rational functions.
Teoriya Funk., Funk. Anal. \& Prilozh., 42 (1984), 72 - 91
(Russian).
English translation: Selecta Mathematica Sovetica, v. 9 (1990),
69 - 90.
[1] Entropy of analytic endomorphisms of the Riemann sphere. Functional Analysis & Appl., v. 15 (1981), No 4, 83-84.
[2] The measure of maximal entropy of a rational endomorphism of the Riemann sphere. Functional Analysis and Appl., v. 16 (1982), No 4, 78 - 79.
[3] Entropy properties of rational endomorphisms of the Riemann sphere.
Ergodic Theory & Dynamical Systems, v. 3 (1983), No 3, 351-385.
This series of papers is joint with Yuri Lyubich.