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math.DS2014
A note on an ergodic theorem in weakly uniformly convex geodesic spaces
Laurentiu Leuştean, Adriana Nicolae
Karlsson and Margulis proved in the setting of uniformly convex geodesic spaces, which additionally satisfy a nonpositive curvature condition, an ergodic theorem that focuses on th…
math.DS2008★ 1 cited
A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces
Ulrich Kohlenbach, Laurentiu Leustean
We provide an explicit uniform bound on the local stability of ergodic averages in uniformly convex Banach spaces. Our result can also be viewed as a finitary version in the sense…