149 citations · 517 across the 29 of their papers we have counts for
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math.DS2012★ 10 cited
Oscillation and the mean ergodic theorem for uniformly convex Banach spaces
Jeremy Avigad, Jason Rute
Let B be a p-uniformly convex Banach space, with p >= 2. Let T be a linear operator on B, and let A_n x denote the ergodic average (1 / n) sum_{i< n} T^n x. We prove the following…
math.DS2009
Metastability in the Furstenberg-Zimmer tower
Jeremy Avigad, Henry Towsner
According to the Furstenberg-Zimmer structure theorem, every measure-preserving system has a maximal distal factor, and is weak mixing relative to that factor. Furstenberg and Katz…
math.DS2007★ 95 cited
Local stability of ergodic averages
Jeremy Avigad, Philipp Gerhardy, Henry Towsner
The mean ergodic theorem is equivalent to the assertion that for every function K and every epsilon, there is an n with the property that the ergodic averages A_m f are stable to w…