Abstract
Consider a potential V defined on R 3, and let us study the motion of a point mass under the action of the force field generated by this potential. Let (x, v) ∈ R 3 ×R 3 be the initial position and velocity of the point mass. We denote by T(x, v) the position of the point at time 1.
Pour apprendre quelque chose aux gens, il faut mélanger cequ’ils connaissent avec ce qu’ils ignorent. P. Picasso (1881–1973)
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References
Arnol′d, V.I., Avez, A.: Ergodic Problems of Classical Mechanics. W.A. Benjamin Inc., New York (1968)
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Coudène, Y. (2016). Mixing. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_3
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DOI: https://doi.org/10.1007/978-1-4471-7287-1_3
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