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25 Publications
2018 | Published | Journal Article | IST-REx-ID: 8420 |
Density of convex billiards with rational caustics
V. Kaloshin, K. Zhang, Nonlinearity 31 (2018) 5214–5234.
[Preprint]
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V. Kaloshin, K. Zhang, Nonlinearity 31 (2018) 5214–5234.
2015 | Published | Journal Article | IST-REx-ID: 8498
Arnold diffusion for smooth convex systems of two and a half degrees of freedom
V. Kaloshin, K. Zhang, Nonlinearity 28 (2015) 2699–2720.
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V. Kaloshin, K. Zhang, Nonlinearity 28 (2015) 2699–2720.
2012 | Published | Journal Article | IST-REx-ID: 8502
An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension
V. Kaloshin, M. Saprykina, Communications in Mathematical Physics 315 (2012) 643–697.
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V. Kaloshin, M. Saprykina, Communications in Mathematical Physics 315 (2012) 643–697.
2000 | Published | Journal Article | IST-REx-ID: 8525
Generic diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, Communications in Mathematical Physics 211 (2000) 253–271.
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V. Kaloshin, Communications in Mathematical Physics 211 (2000) 253–271.
1997 | Published | Journal Article | IST-REx-ID: 8527
How projections affect the dimension spectrum of fractal measures
B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.
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B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.