"Non UBC"@en .
"DSpace"@en .
"Todd, Mike"@en .
"2018-09-19T05:01:47Z"@* .
"2018-03-22T09:57"@en .
"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."@en .
"https://circle.library.ubc.ca/rest/handle/2429/67213?expand=metadata"@en .
"44 minutes"@en .
"video/mp4"@en .
""@en .
"Author affiliation: University of St Andrews"@en .
"Banff (Alta.)"@en .
"10.14288/1.0372089"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Faculty"@en .
"BIRS Workshop Lecture Videos (Banff, Alta)"@en .
"Mathematics"@en .
"Dynamical systems and ergodic theory"@en .
"Probability theory and stochastic processes"@en .
"Dynamical systems"@en .
"Slow/fast mixing/escape"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/67213"@en .