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2014-04-01 – 2016-03-31
The main theme of the project is persistent homology in three contexts: digital images, data mining, and dynamical systems. Persistent homology is the most important innovation that has yet emerged fr...
2010-09-01 – 2012-08-31
2012-10-01 – 2015-09-30
In dynamics, local behaviour is often very unstable, while global behaviour often is immensely hard to derive from local knowledge. Traditionally, topology has been used in abstracting the local behav...
2016-08-15 – 2016-09-23
2016-09-01 – 2020-08-31
The topic belongs to the general area of Computational Topology, and more specifically to the Persistent Homology sub-area. Building on recent results by the two authors, the project suggests several ...