Non UBC
DSpace
Todd, Mike
2018-09-19T05:01:47Z
2018-03-22T09:57
In order to obtain a good statistical theory for a system with a hole in it, the heuristic is that the (exponential) speed of mixing must dominate the (exponential) rate at which mass leaks from the system: so the hole must be appropriately `small'. I'll present joint work with Mark Demers where we analysed this idea for a simple class of systems (Manneville-Pomeau maps with certain `geometric' equilibrium states), giving a complete picture of how the competition between mixing and escape lead to different statistical behaviour. We show a transition from the usual picture of good statistical properties, through a (non-trivial) zone where mixing and escape match exactly, with a terminal transition to subexponential mixing.
https://circle.library.ubc.ca/rest/handle/2429/67213?expand=metadata
44 minutes
video/mp4
Author affiliation: University of St Andrews
Banff (Alta.)
10.14288/1.0372089
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Dynamical systems and ergodic theory
Probability theory and stochastic processes
Dynamical systems
Slow/fast mixing/escape
Moving Image
http://hdl.handle.net/2429/67213