Kaloshin V, Levi M. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 2008;45(3):409-427. doi:10.1090/s0273-0979-08-01211-1

Gorodetski A, Kaloshin V. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. Advances in Mathematics. 2007;208(2):710-797. doi:10.1016/j.aim.2006.03.012

Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 2004;57(9):1127-1158. doi:10.1002/cpa.20032

Kaloshin V. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Inventiones mathematicae. 2003;151(3):451-512. doi:10.1007/s00222-002-0244-9

Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I. Electronic Research Announcements of the American Mathematical Society. 2001;7(4):17-27. doi:10.1090/s1079-6762-01-00090-7

Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements of the American Mathematical Society. 2001;7(5):28-36. doi:10.1090/s1079-6762-01-00091-9