ISTA Research Explorer

We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.

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] View | DOI | Download Preprint (ext.) | arXiv

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.

View | DOI

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.

View | DOI

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.

View | DOI

2008 | Published | Journal Article | IST-REx-ID: 8509

Geometry of Arnold diffusion
V. Kaloshin, M. Levi, SIAM Review 50 (2008) 702–720.

View | DOI

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.

View | DOI

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.

View | DOI

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.

View | DOI

1997 | Published | Journal Article | IST-REx-ID: 8528

Prevalence in the space of finitely smooth maps
V. Kaloshin, Functional Analysis and Its Applications 31 (1997) 95–99.

View | DOI