Abstract
A way is sketched to derive a Langevin equation for the slow degrees of freedom of a Hamiltonian system whose fast ones are mixing Anosov. It uses the Anosov-Kasuga adiabatic invariant, martingale theory, Ruelle’s formula for weakly non-autonomous SRB measures, and large deviation theory.
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© 2010 Springer-Verlag Berlin Heidelberg
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MacKay, R. (2010). Langevin Equation for Slow Degrees of Freedom of Hamiltonian Systems. In: Thiel, M., Kurths, J., Romano, M., Károlyi, G., Moura, A. (eds) Nonlinear Dynamics and Chaos: Advances and Perspectives. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04629-2_5
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DOI: https://doi.org/10.1007/978-3-642-04629-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04628-5
Online ISBN: 978-3-642-04629-2
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