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29 Publications
2018 | Journal Article | IST-REx-ID: 8420 | 
Kaloshin, Vadim, and Ke Zhang. “Density of Convex Billiards with Rational Caustics.” Nonlinearity, vol. 31, no. 11, IOP Publishing, 2018, pp. 5214–34, doi:10.1088/1361-6544/aadc12.
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2015 | Journal Article | IST-REx-ID: 8498
Kaloshin, Vadim, and K. Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.” Nonlinearity, vol. 28, no. 8, IOP Publishing, 2015, pp. 2699–720, doi:10.1088/0951-7715/28/8/2699.
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2014 | Journal Article | IST-REx-ID: 8500
Kaloshin, Vadim, et al. “Arnol′d Diffusion in a Pendulum Lattice.” Communications on Pure and Applied Mathematics, vol. 67, no. 5, Wiley, 2014, pp. 748–75, doi:10.1002/cpa.21509.
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2012 | Journal Article | IST-REx-ID: 8504
Kaloshin, Vadim, 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, 2012, pp. 159–65, doi:10.1017/s0143385710000817.
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2008 | Journal Article | IST-REx-ID: 8510
Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.” Bulletin of the American Mathematical Society, vol. 45, no. 3, American Mathematical Society, 2008, pp. 409–27, doi:10.1090/s0273-0979-08-01211-1.
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2008 | Journal Article | IST-REx-ID: 8509
Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” SIAM Review, vol. 50, no. 4, Society for Industrial & Applied Mathematics, 2008, pp. 702–20, doi:10.1137/070703235.
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2004 | Journal Article | IST-REx-ID: 8517
Dolgopyat, Dmitry, et al. “A Limit Shape Theorem for Periodic Stochastic Dispersion.” Communications on Pure and Applied Mathematics, vol. 57, no. 9, Wiley, 2004, pp. 1127–58, doi:10.1002/cpa.20032.
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1997 | Journal Article | IST-REx-ID: 8528
Kaloshin, Vadim. “Prevalence in the Space of Finitely Smooth Maps.” Functional Analysis and Its Applications, vol. 31, no. 2, Springer Nature, 1997, pp. 95–99, doi:10.1007/bf02466014.
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1997 | Journal Article | IST-REx-ID: 8527
Hunt, Brian R., and Vadim Kaloshin. “How Projections Affect the Dimension Spectrum of Fractal Measures.” Nonlinearity, vol. 10, no. 5, IOP Publishing, 1997, pp. 1031–46, doi:10.1088/0951-7715/10/5/002.
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