Timeline for "Typical" convergence rate for the von Neumann mean ergodic theorem

8 events

when toggle format	what		by	license	comment
May 19, 2015 at 20:25	history	edited	Lior Eldar	CC BY-SA 3.0	edited title
May 18, 2015 at 0:31	history	edited	Lior Eldar	CC BY-SA 3.0	added 8 characters in body
May 17, 2015 at 23:48	history	edited	Lior Eldar	CC BY-SA 3.0	added 495 characters in body
May 15, 2015 at 21:16	answer	added	coudy		timeline score: 5
May 15, 2015 at 15:33	comment	added	Terry Tao		If one wants quantitative forms of the mean ergodic theorem for arbitrary shift operators $U$, then the correct question to ask is not to bound the convergence rate, but rather to bound the metastability of the averages. See e.g. andrew.cmu.edu/user/avigad/Talks/dc.pdf . The prototypical result in which metastability is quantitative but convergence rate is not is the basic real analysis fact that all bounded monotone sequences converge: see terrytao.wordpress.com/2007/05/23/… .
May 15, 2015 at 15:27	answer	added	Asaf		timeline score: 4
May 15, 2015 at 14:38	review	Close votes
May 15, 2015 at 15:22
May 15, 2015 at 14:05	history	asked	Lior Eldar	CC BY-SA 3.0