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- Vadim Kaloshin, Ke Zhang, Yong Zheng
- 2011

The famous question called the ergodic hypothesis suggested that for a typical Hamiltonian on a typical energy surface all, but a set of zero measure of initial conditions, have trajectories coveringâ€¦ (More)

- Vadim Kaloshin, Mark Levi
- SIAM Review
- 2008

The goal of this paper is to present to non-specialists what is perhaps the simple possible geometrical picture explaining the mechanism of Arnold diffusion. We choose to speak of a specific model â€“â€¦ (More)

- Jacques FÃ©joz, Marcel Guardia, Vadim Kaloshin, Pablo RoldÃ¡n
- 2011

We study the dynamics of the restricted planar three-body problem near a mean motion resonance, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the mostâ€¦ (More)

The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center ofâ€¦ (More)

The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper, we utilize this principleâ€¦ (More)

- Anton Gorodetski, Brian R. Hunt, Vadim Kaloshin
- 2006

We describe a general method of studying prevalent properties of diffeomorphisms of a compact manifold M , where by prevalent we mean true for Lebesgue almost every parameter Îµ in a genericâ€¦ (More)

- Vadim Kaloshin, Mark Levi
- 2008

In this paper, using the ideas of Bessi and Mather, we present a simple mechanical system exhibiting Arnold diffusion. This system of a particle in a small periodic potential can be also interpretedâ€¦ (More)

- Vadim Kaloshin, John N. Mather, Enrico Valdinoci, Vadim Kaloshin, JOHN N. MATHER, Enrico Valdinoci
- 2004

â€” A well known Moser stability theorem states that a generic elliptic fixed point of an area-preserving mapping is Lyapunov stable. We investigate the question of Lyapunov stability for 4-dimensionalâ€¦ (More)

The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principleâ€¦ (More)

- Vadim Kaloshin, Maria Saprykina
- 2012

The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it. Ehrenfest (The Conceptual Foundations ofâ€¦ (More)