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math-ph2021
Arnold diffusion and Nekhoroshev theory
Christos Efthymiopoulos, Rocio Isabel Paez
Starting with Arnold's pioneering work, the term "Arnold diffusion" has been used to describe the slow diffusion taking place in the space of the actions in Hamiltonian nonlinear d…
math-ph2018
Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems
Massimiliano Guzzo, Christos Efthymiopoulos, Rocio Isabel Paez
Cornerstone models of Physics, from the semi-classical mechanics in atomic and molecular physics to planetary systems, are represented by quasi-integrable Hamiltonian systems. Sinc…