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20072023
most citedArnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

53 citations · 275 across the 20 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.DS2014★ 9 cited

Dynamics of the dominant Hamiltonian, with applications to Arnold diffusion

Vadim Kaloshin, Ke Zhang

It is well known that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is well approximated by the associat…

math.DS2014★ 28 cited

Thermodynamics of Towers of Hyperbolic Type

Yakov Pesin, Samuel Senti, Ke Zhang

We introduce a class of continuous maps of a compact topological space admitting inducing schemes of hyperbolic type and describe the associated tower constructions. We the…