scholarly journals Averaging of Hamiltonian flows with an ergodic component

2008 ◽  
Vol 36 (6) ◽  
pp. 1999-2049 ◽  
Author(s):  
Dmitry Dolgopyat ◽  
Leonid Koralov
1995 ◽  
Vol 74 (3) ◽  
pp. 375-378 ◽  
Author(s):  
Lapo Casetti ◽  
Roberto Livi ◽  
Marco Pettini

2007 ◽  
Vol 27 (5) ◽  
pp. 1509-1524 ◽  
Author(s):  
FRITZ COLONIUS ◽  
ROBERTA FABBRI ◽  
RUSSELL JOHNSON

AbstractAverages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for the possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian flows and of general linear flows are given.


2007 ◽  
Vol 272 (3) ◽  
pp. 567-600 ◽  
Author(s):  
A. Rapoport ◽  
V. Rom-Kedar ◽  
D. Turaev
Keyword(s):  

2015 ◽  
Vol 22 (1) ◽  
pp. 227-296 ◽  
Author(s):  
Leonid Polterovich ◽  
Egor Shelukhin

2016 ◽  
Vol 91 (1) ◽  
pp. 21-38
Author(s):  
Asaf Kislev
Keyword(s):  

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