Kaloshin, Vadim, and Ke Zhang. “Density of Convex Billiards with Rational Caustics.”https://doi.org/10.1088/1361-6544/aadc12__Nonlinearity. IOP Publishing, 2018.https://doi.org/10.1088/1361-6544/aadc12 .

Kaloshin, Vadim, and K Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.”https://doi.org/10.1088/0951-7715/28/8/2699__Nonlinearity. IOP Publishing, 2015.https://doi.org/10.1088/0951-7715/28/8/2699 .

Kaloshin, Vadim, Mark Levi, and Maria Saprykina. “Arnold Diffusion in a Pendulum Lattice.”https://doi.org/10.1002/cpa.21509__Communications on Pure and Applied Mathematics. Wiley, 2014.https://doi.org/10.1002/cpa.21509 .

Kaloshin, Vadim, and O. S. KOZLOVSKI. “A Cr Unimodal Map with an Arbitrary Fast Growth of the Number of Periodic Points.”https://doi.org/10.1017/s0143385710000817__Ergodic Theory and Dynamical Systems. Cambridge University Press, 2012.https://doi.org/10.1017/s0143385710000817 .

Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.”https://doi.org/10.1090/s0273-0979-08-01211-1__Bulletin of the American Mathematical Society. American Mathematical Society, 2008.https://doi.org/10.1090/s0273-0979-08-01211-1 .

Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.”https://doi.org/10.1137/070703235__SIAM Review. Society for Industrial &; Applied Mathematics, 2008.https://doi.org/10.1137/070703235 .

Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem for Periodic Stochastic Dispersion.”https://doi.org/10.1002/cpa.20032__Communications on Pure and Applied Mathematics. Wiley, 2004.https://doi.org/10.1002/cpa.20032 .

Kaloshin, Vadim. “Prevalence in the Space of Finitely Smooth Maps.”https://doi.org/10.1007/bf02466014__Functional Analysis and Its Applications. Springer Nature, 1997.https://doi.org/10.1007/bf02466014 .

Hunt, Brian R, and Vadim Kaloshin. “How Projections Affect the Dimension Spectrum of Fractal Measures.”https://doi.org/10.1088/0951-7715/10/5/002__Nonlinearity. IOP Publishing, 1997.https://doi.org/10.1088/0951-7715/10/5/002 .