3 papers
math.CO2014
Lossy gossip and composition of metrics
Andries E. Brouwer, Jan Draisma, Bart J. Frenk
We study the monoid generated by n-by-n distance matrices under tropical (or min-plus) multiplication. Using the tropical geometry of the orthogonal group, we prove that this monoi…
math.AG2012
Tropically Unirational Varieties
Jan Draisma, Bart Frenk
We introduce tropically unirational varieties, which are subvarieties of tori that admit dominant rational maps whose tropicalisation is surjective. The central (and unresolved) qu…
math.RT2007
Brauer Algebras of Simply Laced Type
Arjeh M Cohen, Bart Frenk, David Wales
The diagram algebra introduced by Brauer that describes the centralizer algebra on tensor products of the natural representation of an orthogonal group has a presentation by genera…