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31 Publications
2014 | Published | Journal Article | IST-REx-ID: 8500
Arnol′d diffusion in a pendulum lattice
V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics 67 (2014) 748–775.
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| DOI
V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics 67 (2014) 748–775.
2014 | Published | Journal Article | IST-REx-ID: 8501
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.
[Preprint]
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| DOI
| arXiv
A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.
2014 | Published | Journal Article | IST-REx-ID: 9166 | 
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).
[Published Version]
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| Download Published Version (ext.)
| PubMed | Europe PMC
| arXiv
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).
2012 | Published | Journal Article | IST-REx-ID: 8504
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.
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| DOI
V. Kaloshin, O.S. KOZLOVSKI, Ergodic Theory and Dynamical Systems 32 (2012) 159–165.
2011 | Published | Journal Article | IST-REx-ID: 8505
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.
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J. Galante, V. Kaloshin, Duke Mathematical Journal 159 (2011) 275–327.
2008 | Published | Journal Article | IST-REx-ID: 8510
An example of Arnold diffusion for near-integrable Hamiltonians
V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.
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V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.
2007 | Published | Journal Article | IST-REx-ID: 8511
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.
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A. Gorodetski, V. Kaloshin, Advances in Mathematics 208 (2007) 710–797.
2004 | Published | Journal Article | IST-REx-ID: 8517
A limit shape theorem for periodic stochastic dispersion
D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.
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| DOI
D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.
2003 | Published | Journal Article | IST-REx-ID: 8519
The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.
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V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.
2001 | Published | Journal Article | IST-REx-ID: 8521
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.
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| DOI
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 28–36.
2001 | Published | Journal Article | IST-REx-ID: 8522
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.
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V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 17–27.