58 citations · 265 across the 44 of their papers we have counts for
5 papers · 1 filter
KMS weights on higher rank buildings
Jake Marcinek, Matilde Marcolli
We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings: we discuss notions of KMS weights on buil…
Spectral Action for Bianchi Type-IX Cosmological Models
Wentao Fan, Farzad Fathizadeh, Matilde Marcolli
A rationality result previously proved for Robertson-Walker metrics is extended to a homogeneous anisotropic cosmological model, namely the Bianchi type-IX minisuperspace. It is sh…
Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies
Yuri Manin, Matilde Marcolli
It is well known that the so called Bianchi IX spacetimes with SO(3)-symmetry in a neighbourhood of the Big Bang exhibit a chaotic behaviour of typical trajectories in the backward…
Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory
Matilde Marcolli, Alexander Port
Graph grammars extend the theory of formal languages in order to model distributed parallelism in theoretical computer science. We show here that to certain classes of context-free…
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect
Matilde Marcolli, Kyle Seipp
We extend the noncommutative geometry model of the fractional quantum Hall effect, previously developed by Mathai and the first author, to orbifold symmetric products. It retains t…