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math.DS2018★ 1 cited
Ratio ergodic theorems: From Hopf to Birkhoff and Kingman
Hans Henrik Rugh, Damien Thomine
Hopf's ratio ergodic theorem has an inherent symmetry which we exploit to provide a simplification of standard proofs of Hopf's and Birkhoff's ergodic theorems. We also present a r…
math.DS2018
Keplerian shear in ergodic theory
Damien Thomine
Many integrable physical systems exhibit Keplerian shear. We look at this phenomenon from the point of view of ergodic theory, where it can be seen as mixing conditionally to an in…