Timeline for What does the group action of a rough path in a Lie group look like?
Current License: CC BY-SA 4.0
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| Jun 6, 2018 at 13:39 | vote | accept | CommunityBot | moved from User.Id=69208 by developer User.Id=35285 | |
| Jun 6, 2018 at 12:01 | answer | added | Alexander Schmeding | timeline score: 13 | |
| May 22, 2018 at 22:56 | comment | added | David Roberts♦ | Also, just because the rough path takes values in a Lie group, it doesn't automatically mean it is an element of a Lie group, unless you set up some infinite-dimensional space of such paths and prove it is an infinite-dimensional Lie group. | |
| May 22, 2018 at 19:18 | comment | added | j.c. | Your question feels a bit off to me. Just because a process takes values in a Lie group does not mean that there is necessarily some other object around that the Lie group acts on. From my reading of the start of 2.3 in the book you linked, it appears that the rough path (increments) act on each other in a nice way because of Chen's relation, and this then motivates the Lie group structure. | |
| May 22, 2018 at 18:22 | history | asked | user69208 | CC BY-SA 4.0 |