An Exploration of Tipping Points From the Viewpoint of Persistent Topology

Tuesday, November 5, 2013 - 1:30pm - 2:30pm
Lind 305
Jesse Berwald (University of Minnesota, Twin Cities)
A tipping point occurs when adjusting one or more parameters of
a system causes it to transition abruptly to a new state. Examples include
desertification due to grazing, financial crises, and drastic shifts
observed in past climate states. Data from such systems, whether real
world or model-derived, may provide interesting insight into the system.
We review the mechanisms underpinning recent statistical work in predicting
tipping points in 1D time series. We will then discuss analysis of such
data, theoretically of any dimension, from the angle of persistent