Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.

Arnold diffusion in a pendulum lattice
V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics 67 (2014) 748–775.

Light-activated self-propelled colloids
J.A. Palacci, S. Sacanna, S.-H. Kim, G.-R. Yi, D.J. Pine, P.M. Chaikin, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372 (2014).

A Cr unimodal map with an arbitrary fast growth of the number of periodic points
V. Kaloshin, O.S. KOZLOVSKI, Ergodic Theory and Dynamical Systems 32 (2012) 159–165.

Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action
J. Galante, V. Kaloshin, Duke Mathematical Journal 159 (2011) 275–327.

An example of Arnold diffusion for near-integrable Hamiltonians
V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.

How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency
A. Gorodetski, V. Kaloshin, Advances in Mathematics 208 (2007) 710–797.

A limit shape theorem for periodic stochastic dispersion
D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.

The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.

A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 17–27.

A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 28–36.