V. Kaloshin and K. Zhang, “Density of convex billiards with rational caustics,” Nonlinearity, vol. 31, no. 11. IOP Publishing, pp. 5214–5234, 2018.

V. Kaloshin and K. Zhang, “Arnold diffusion for smooth convex systems of two and a half degrees of freedom,” Nonlinearity, vol. 28, no. 8. IOP Publishing, pp. 2699–2720, 2015.

V. Kaloshin, M. Levi, and M. Saprykina, “Arnold diffusion in a pendulum lattice,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley, pp. 748–775, 2014.

V. Kaloshin and O. S. KOZLOVSKI, “A Cr unimodal map with an arbitrary fast growth of the number of periodic points,” Ergodic Theory and Dynamical Systems, vol. 32, no. 1. Cambridge University Press, pp. 159–165, 2012.

V. Kaloshin and M. Levi, “An example of Arnold diffusion for near-integrable Hamiltonians,” Bulletin of the American Mathematical Society, vol. 45, no. 3. American Mathematical Society, pp. 409–427, 2008.

V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” SIAM Review, vol. 50, no. 4. Society for Industrial &; Applied Mathematics, pp. 702–720, 2008.

D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic stochastic dispersion,” Communications on Pure and Applied Mathematics, vol. 57, no. 9. Wiley, pp. 1127–1158, 2004.

V. Kaloshin, “Prevalence in the space of finitely smooth maps,” Functional Analysis and Its Applications, vol. 31, no. 2. Springer Nature, pp. 95–99, 1997.

B. R. Hunt and V. Kaloshin, “How projections affect the dimension spectrum of fractal measures,” Nonlinearity, vol. 10, no. 5. IOP Publishing, pp. 1031–1046, 1997.