Timeline for Example of action of an infinitely countable group that has important ergodic/statistical property?
Current License: CC BY-SA 3.0
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| Apr 26, 2017 at 3:04 | review | Close votes | |||
| Apr 26, 2017 at 20:52 | |||||
| Apr 21, 2017 at 16:02 | comment | added | letta | Asaf this is very interesting. Thank you. But those examples are going to be for action of non-discrete (countable) groups right? Do you know anything of that flavor but with coutable groups? | |
| Apr 21, 2017 at 7:47 | comment | added | Asaf | In general, mixing properties (of flows over homogeneous spaces) are intimately related to the spectral gap of the action (and through that, to decay of matrix coefficients and representation theory), this has led to many counting results (the Eskin-McMullen theorem comes into mind). | |
| Apr 21, 2017 at 7:08 | review | Close votes | |||
| Apr 21, 2017 at 9:07 | |||||
| S Apr 21, 2017 at 5:55 | history | suggested | BigM | CC BY-SA 3.0 |
typos corrected
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| Apr 21, 2017 at 4:32 | comment | added | BigM | One rather direct application which you might already know is the Hardy-Littlewood type maximal inequities for certain classes of amenable locally compact groups. You can look at E. Linderstrass' paper in Invent. Math. 146 (2001) and Greenleaf-Emerson's paper in Advances in Math (1974). I am hoping this relevant to what you are after. | |
| Apr 21, 2017 at 4:20 | review | Suggested edits | |||
| S Apr 21, 2017 at 5:55 | |||||
| Apr 21, 2017 at 0:18 | review | First posts | |||
| Apr 21, 2017 at 4:12 | |||||
| Apr 21, 2017 at 0:16 | history | asked | letta | CC BY-SA 3.0 |