81 citations · 318 across the 48 of their papers we have counts for
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gr-qc2015★ 7 cited
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…
gr-qc2014★ 17 cited
Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
Yuri I. Manin, Matilde Marcolli
We introduce some algebraic geometric models in cosmology related to the "boundaries" of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to…