We will discuss the notion of loops in linguistic structures,
mainly in dictionaries. In a simplified view, a dictionary is a
graph that links every word (vertex) to a set of alternative words
(the definition) which in turn point to further...
Persistent homology is a central object of study in applied
topology. It offers a flexible framework for defining invariants,
called barcodes, of point cloud data and of real valued functions.
Many of the key results of the last several years in the...
