58 citations · 265 across the 44 of their papers we have counts for
4 papers · 1 filter
Quantum Statistical Mechanics of the Absolute Galois Group
Yuri I. Manin, Matilde Marcolli
We present possible extensions of the quantum statistical mechanical formulation of class field theory to the non-abelian case, based on the action of the absolute Galois group on…
Topological Analysis of Syntactic Structures
Alexander Port, Taelin Karidi, Matilde Marcolli
We use the persistent homology method of topological data analysis and dimensional analysis techniques to study data of syntactic structures of world languages. We analyze relation…
Nori diagrams and persistent homology
Yuri I. Manin, Matilde Marcolli
Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical…
Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives
Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli
We construct geometric lifts of the Bost-Connes algebra to Grothendieck rings and to the associated assembler categories and spectra, as well as to certain categories of Nori motiv…